1375972416 has 168 divisors, whose sum is σ = 4854309824. Its totient is φ = 362880000.

The previous prime is 1375972393. The next prime is 1375972439. The reversal of 1375972416 is 6142795731.

1375972416 is a `hidden beast` number, since 1 + 37 + 597 + 24 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1375972393) and next prime (1375972439).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39291 + ... + 65541.

Almost surely, 2^1375972416 is an apocalyptic number.

1375972416 is a gapful number since it is divisible by the number (16) 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 1375972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427154912).

1375972416 is an abundant number, since it is smaller than the sum of its proper divisors (3478337408).

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

1375972416 is a wasteful number, since it uses less digits than its factorization.

1375972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26289 (or 26276 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 1375972416 is about 37094.1021727174. The cubic root of 1375972416 is about 1112.2521209466.

The spelling of 1375972416 in words is "one billion, three hundred seventy-five million, nine hundred seventy-two thousand, four hundred sixteen".