4145225440 has 192 divisors, whose sum is σ = 10704052800. Its totient is φ = 1511571456.

The previous prime is 4145225431. The next prime is 4145225449. The reversal of 4145225440 is 445225414.

It is an interprime number because it is at equal distance from previous prime (4145225431) and next prime (4145225449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145225449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15409626 + ... + 15409894.

It is an arithmetic number, because the mean of its divisors is an integer number (55750275).

Almost surely, 2^4145225440 is an apocalyptic number.

4145225440 is a gapful number since it is divisible by the number (40) 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 4145225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352026400).

4145225440 is an abundant number, since it is smaller than the sum of its proper divisors (6558827360).

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

4145225440 is a wasteful number, since it uses less digits than its factorization.

4145225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The square root of 4145225440 is about 64383.4251962413. The cubic root of 4145225440 is about 1606.3840560141.

The spelling of 4145225440 in words is "four billion, one hundred forty-five million, two hundred twenty-five thousand, four hundred forty".