1516400640 has 312 divisors, whose sum is σ = 5545634640. Its totient is φ = 382205952.

The previous prime is 1516400617. The next prime is 1516400737. The reversal of 1516400640 is 460046151.

1516400640 is a `hidden beast` number, since 1 + 5 + 16 + 4 + 0 + 0 + 640 = 666.

It is a congruent number.

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, 3501864 + ... + 3502296.

It is an arithmetic number, because the mean of its divisors is an integer number (17774470).

Almost surely, 2^1516400640 is an apocalyptic number.

1516400640 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 1516400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772817320).

1516400640 is an abundant number, since it is smaller than the sum of its proper divisors (4029234000).

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

1516400640 is a wasteful number, since it uses less digits than its factorization.

1516400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1516400640 is about 38940.9892016112. The cubic root of 1516400640 is about 1148.8711392594.

Adding to 1516400640 its reverse (460046151), we get a palindrome (1976446791).

The spelling of 1516400640 in words is "one billion, five hundred sixteen million, four hundred thousand, six hundred forty".