416052615200 has 72 divisors (see below), whose sum is σ = 1028545418880. Its totient is φ = 164314425600.

The previous prime is 416052615161. The next prime is 416052615239. The reversal of 416052615200 is 2516250614.

It is an interprime number because it is at equal distance from previous prime (416052615161) and next prime (416052615239).

It is a super-2 number, since 2×416052615200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3228356 + ... + 3354755.

It is an arithmetic number, because the mean of its divisors is an integer number (14285353040).

Almost surely, 2^416052615200 is an apocalyptic number.

416052615200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416052615200 is an abundant number, since it is smaller than the sum of its proper divisors (612492803680).

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

416052615200 is a wasteful number, since it uses less digits than its factorization.

416052615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6583210 (or 6583197 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 416052615200 its reverse (2516250614), we get a palindrome (418568865814).

The spelling of 416052615200 in words is "four hundred sixteen billion, fifty-two million, six hundred fifteen thousand, two hundred".