42031166400 has 252 divisors, whose sum is σ = 153034465584. Its totient is φ = 10934784000.

The previous prime is 42031166381. The next prime is 42031166417. The reversal of 42031166400 is 466113024.

42031166400 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 1 + 16 + 640 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 554805 + ... + 625995.

Almost surely, 2^42031166400 is an apocalyptic number.

42031166400 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 42031166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76517232792).

42031166400 is an abundant number, since it is smaller than the sum of its proper divisors (111003299184).

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

42031166400 is a wasteful number, since it uses less digits than its factorization.

42031166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71260 (or 71242 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 42031166400 its reverse (466113024), we get a palindrome (42497279424).

The spelling of 42031166400 in words is "forty-two billion, thirty-one million, one hundred sixty-six thousand, four hundred".