1376470144 has 128 divisors (see below), whose sum is σ = 3463430400. Its totient is φ = 530939904.

The previous prime is 1376470141. The next prime is 1376470169. The reversal of 1376470144 is 4410746731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1376470141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348372 + ... + 352300.

It is an arithmetic number, because the mean of its divisors is an integer number (27058050).

Almost surely, 2^1376470144 is an apocalyptic number.

1376470144 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 1376470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731715200).

1376470144 is an abundant number, since it is smaller than the sum of its proper divisors (2086960256).

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

1376470144 is a wasteful number, since it uses less digits than its factorization.

1376470144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990 (or 3978 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 1376470144 is about 37100.8105571832. The cubic root of 1376470144 is about 1112.3862157583.

The spelling of 1376470144 in words is "one billion, three hundred seventy-six million, four hundred seventy thousand, one hundred forty-four".