42074856615792 has 320 divisors, whose sum is σ = 146109194413056. Its totient is φ = 10076041543680.

The previous prime is 42074856615773. The next prime is 42074856615887. The reversal of 42074856615792 is 29751665847024.

It is a super-2 number, since 2×42074856615792² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40471648 + ... + 41498240.

Almost surely, 2^{42074856615792} is an apocalyptic number.

42074856615792 is a gapful number since it is divisible by the number (42) 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 42074856615792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73054597206528).

42074856615792 is an abundant number, since it is smaller than the sum of its proper divisors (104034337797264).

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

42074856615792 is a wasteful number, since it uses less digits than its factorization.

42074856615792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027488 (or 1027482 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

It can be divided in two parts, 420748 and 56615792, that added together give a triangular number (57036540 = T₁₀₆₈₀).

The spelling of 42074856615792 in words is "forty-two trillion, seventy-four billion, eight hundred fifty-six million, six hundred fifteen thousand, seven hundred ninety-two".