407662661556 has 72 divisors (see below), whose sum is σ = 1044806808864. Its totient is φ = 134004386880.

The previous prime is 407662661551. The next prime is 407662661591. The reversal of 407662661556 is 655166266704.

407662661556 is a `hidden beast` number, since 4 + 0 + 7 + 6 + 6 + 26 + 61 + 556 = 666.

It is a super-2 number, since 2×407662661556² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407662661551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1509726 + ... + 1759146.

Almost surely, 2^407662661556 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 407662661556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522403404432).

407662661556 is an abundant number, since it is smaller than the sum of its proper divisors (637144147308).

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

407662661556 is a wasteful number, since it uses less digits than its factorization.

407662661556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250061 (or 250056 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 407662661556 in words is "four hundred seven billion, six hundred sixty-two million, six hundred sixty-one thousand, five hundred fifty-six".