42685815285200 has 240 divisors, whose sum is σ = 107728559680896. Its totient is φ = 16222892083200.

The previous prime is 42685815285193. The next prime is 42685815285251. The reversal of 42685815285200 is 258251858624.

It is a super-3 number, since 3×42685815285200³ (a number of 42 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

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, 827523410 + ... + 827574990.

Almost surely, 2^{42685815285200} is an apocalyptic number.

42685815285200 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 42685815285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53864279840448).

42685815285200 is an abundant number, since it is smaller than the sum of its proper divisors (65042744395696).

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

42685815285200 is a wasteful number, since it uses less digits than its factorization.

42685815285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52222 (or 52211 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 56.

The spelling of 42685815285200 in words is "forty-two trillion, six hundred eighty-five billion, eight hundred fifteen million, two hundred eighty-five thousand, two hundred".