42912464829696 has 432 divisors, whose sum is σ = 159970558745088. Its totient is φ = 11146093516800.

The previous prime is 42912464829677. The next prime is 42912464829739. The reversal of 42912464829696 is 69692846421924.

42912464829696 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 246 + 4 + 8 + 296 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310651 + ... + 9269381.

Almost surely, 2^{42912464829696} 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 42912464829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79985279372544).

42912464829696 is an abundant number, since it is smaller than the sum of its proper divisors (117058093915392).

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

42912464829696 is an equidigital number, since it uses as much as digits as its factorization.

42912464829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958780 (or 8958754 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 42912464829696 in words is "forty-two trillion, nine hundred twelve billion, four hundred sixty-four million, eight hundred twenty-nine thousand, six hundred ninety-six".