400505114444352 has 224 divisors, whose sum is σ = 1088992114339584. Its totient is φ = 129828593664000.

The previous prime is 400505114444341. The next prime is 400505114444399. The reversal of 400505114444352 is 253444411505004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13134314418 + ... + 13134344910.

It is an arithmetic number, because the mean of its divisors is an integer number (4861571939016).

Almost surely, 2^{400505114444352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400505114444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544496057169792).

400505114444352 is an abundant number, since it is smaller than the sum of its proper divisors (688486999895232).

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

400505114444352 is a wasteful number, since it uses less digits than its factorization.

400505114444352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35837 (or 35827 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 400505114444352 its reverse (253444411505004), we get a palindrome (653949525949356).

The spelling of 400505114444352 in words is "four hundred trillion, five hundred five billion, one hundred fourteen million, four hundred forty-four thousand, three hundred fifty-two".