42785073408 has 864 divisors, whose sum is σ = 156430165248. Its totient is φ = 10121379840.

The previous prime is 42785073377. The next prime is 42785073421. The reversal of 42785073408 is 80437058724.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 586096860 + ... + 586096932.

It is an arithmetic number, because the mean of its divisors is an integer number (181053432).

Almost surely, 2^42785073408 is an apocalyptic number.

42785073408 is a gapful number since it is divisible by the number (48) 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 42785073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78215082624).

42785073408 is an abundant number, since it is smaller than the sum of its proper divisors (113645091840).

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

42785073408 is a wasteful number, since it uses less digits than its factorization.

42785073408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 42785073408 in words is "forty-two billion, seven hundred eighty-five million, seventy-three thousand, four hundred eight".