556104407040 has 2304 divisors, whose sum is σ = 2623274035200. Its totient is φ = 108610191360.

The previous prime is 556104406999. The next prime is 556104407069. The reversal of 556104407040 is 40704401655.

556104407040 is a `hidden beast` number, since 55 + 61 + 0 + 440 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×556104407040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 556104406986 and 556104407004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17938851825 + ... + 17938851855.

It is an arithmetic number, because the mean of its divisors is an integer number (1138573800).

Almost surely, 2^556104407040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556104407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311637017600).

556104407040 is an abundant number, since it is smaller than the sum of its proper divisors (2067169628160).

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

556104407040 is a wasteful number, since it uses less digits than its factorization.

556104407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 556104407040 its reverse (40704401655), we get a palindrome (596808808695).

The spelling of 556104407040 in words is "five hundred fifty-six billion, one hundred four million, four hundred seven thousand, forty".