42786400665600 has 1152 divisors, whose sum is σ = 160529995735200. Its totient is φ = 10879028428800.

The previous prime is 42786400665563. The next prime is 42786400665637. The reversal of 42786400665600 is 656600468724.

42786400665600 is a `hidden beast` number, since 4 + 2 + 78 + 6 + 4 + 0 + 0 + 6 + 6 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42786400665563) and next prime (42786400665637).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×42786400665600² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17746328395 + ... + 17746330805.

Almost surely, 2^{42786400665600} is an apocalyptic number.

42786400665600 is a gapful number since it is divisible by the number (40) 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 42786400665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80264997867600).

42786400665600 is an abundant number, since it is smaller than the sum of its proper divisors (117743595069600).

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

42786400665600 is a wasteful number, since it uses less digits than its factorization.

42786400665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 42786400665600 in words is "forty-two trillion, seven hundred eighty-six billion, four hundred million, six hundred sixty-five thousand, six hundred".