1251416640 has 112 divisors (see below), whose sum is σ = 3988247040. Its totient is φ = 332451840.

The previous prime is 1251416633. The next prime is 1251416653. The reversal of 1251416640 is 466141521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1251416598 and 1251416607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267441 + ... + 272079.

Almost surely, 2^1251416640 is an apocalyptic number.

1251416640 is a gapful number since it is divisible by the number (10) 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 1251416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994123520).

1251416640 is an abundant number, since it is smaller than the sum of its proper divisors (2736830400).

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

1251416640 is a wasteful number, since it uses less digits than its factorization.

1251416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4940 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1251416640 is about 35375.3677012692. The cubic root of 1251416640 is about 1077.6241324968.

The spelling of 1251416640 in words is "one billion, two hundred fifty-one million, four hundred sixteen thousand, six hundred forty".