42466066400 has 72 divisors (see below), whose sum is σ = 103705315560. Its totient is φ = 16980687360.

The previous prime is 42466066367. The next prime is 42466066417. The reversal of 42466066400 is 466066424.

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, 2984102 + ... + 2998298.

It is an arithmetic number, because the mean of its divisors is an integer number (1440351605).

Almost surely, 2^42466066400 is an apocalyptic number.

42466066400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42466066400 is an abundant number, since it is smaller than the sum of its proper divisors (61239249160).

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

42466066400 is a wasteful number, since it uses less digits than its factorization.

42466066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17956 (or 17943 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 42466066400 in words is "forty-two billion, four hundred sixty-six million, sixty-six thousand, four hundred".