42621557000 has 256 divisors, whose sum is σ = 112086374400. Its totient is φ = 15036000000.

The previous prime is 42621556961. The next prime is 42621557029. The reversal of 42621557000 is 75512624.

It is a super-2 number, since 2×42621557000² (a number of 22 digits) contains 22 as substring.

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, 118722821 + ... + 118723179.

It is an arithmetic number, because the mean of its divisors is an integer number (437837400).

Almost surely, 2^42621557000 is an apocalyptic number.

42621557000 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 42621557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56043187200).

42621557000 is an abundant number, since it is smaller than the sum of its proper divisors (69464817400).

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

42621557000 is a wasteful number, since it uses less digits than its factorization.

42621557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The spelling of 42621557000 in words is "forty-two billion, six hundred twenty-one million, five hundred fifty-seven thousand".