1425968544 has 576 divisors, whose sum is σ = 5405460480. Its totient is φ = 319334400.

The previous prime is 1425968519. The next prime is 1425968549. The reversal of 1425968544 is 4458695241.

1425968544 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1425968493 and 1425968502.

It is not an unprimeable number, because it can be changed into a prime (1425968549) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20084029 + ... + 20084099.

It is an arithmetic number, because the mean of its divisors is an integer number (9384480).

Almost surely, 2^1425968544 is an apocalyptic number.

1425968544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1425968544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702730240).

1425968544 is an abundant number, since it is smaller than the sum of its proper divisors (3979491936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1425968544 is a wasteful number, since it uses less digits than its factorization.

1425968544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 48.

The square root of 1425968544 is about 37761.9986759176. The cubic root of 1425968544 is about 1125.5634495057.

It can be divided in two parts, 1425 and 968544, that added together give a palindrome (969969).

The spelling of 1425968544 in words is "one billion, four hundred twenty-five million, nine hundred sixty-eight thousand, five hundred forty-four".