42471577600 has 144 divisors (see below), whose sum is σ = 105908690160. Its totient is φ = 16891084800.

The previous prime is 42471577583. The next prime is 42471577627. The reversal of 42471577600 is 677517424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9264909 + ... + 9269491.

It is an arithmetic number, because the mean of its divisors is an integer number (735477015).

Almost surely, 2^42471577600 is an apocalyptic number.

42471577600 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 42471577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52954345080).

42471577600 is an abundant number, since it is smaller than the sum of its proper divisors (63437112560).

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

42471577600 is a wasteful number, since it uses less digits than its factorization.

42471577600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

The spelling of 42471577600 in words is "forty-two billion, four hundred seventy-one million, five hundred seventy-seven thousand, six hundred".