42502678073856 has 1440 divisors, whose sum is σ = 168036374233728. Its totient is φ = 10166306734080.

The previous prime is 42502678073833. The next prime is 42502678073917. The reversal of 42502678073856 is 65837087620524.

42502678073856 is a `hidden beast` number, since 4 + 2 + 502 + 6 + 7 + 8 + 0 + 73 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 42502678073793 and 42502678073802.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16240991460 + ... + 16240994076.

Almost surely, 2^{42502678073856} 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 42502678073856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84018187116864).

42502678073856 is an abundant number, since it is smaller than the sum of its proper divisors (125533696159872).

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

42502678073856 is a wasteful number, since it uses less digits than its factorization.

42502678073856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 42502678073856 in words is "forty-two trillion, five hundred two billion, six hundred seventy-eight million, seventy-three thousand, eight hundred fifty-six".