42031044411400 has 288 divisors, whose sum is σ = 110568884154120. Its totient is φ = 14841000345600.

The previous prime is 42031044411383. The next prime is 42031044411413. The reversal of 42031044411400 is 411444013024.

It can be written as a sum of positive squares in 12 ways, for example, as 252066251844 + 41778978159556 = 502062^2 + 6463666^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124243282 + ... + 124581118.

Almost surely, 2^{42031044411400} is an apocalyptic number.

42031044411400 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 42031044411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55284442077060).

42031044411400 is an abundant number, since it is smaller than the sum of its proper divisors (68537839742720).

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

42031044411400 is a wasteful number, since it uses less digits than its factorization.

42031044411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338025 (or 338005 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 42031044411400 its reverse (411444013024), we get a palindrome (42442488424424).

The spelling of 42031044411400 in words is "forty-two trillion, thirty-one billion, forty-four million, four hundred eleven thousand, four hundred".