400105105920 has 960 divisors, whose sum is σ = 1579476907008. Its totient is φ = 92897280000.

The previous prime is 400105105919. The next prime is 400105105943. The reversal of 400105105920 is 29501501004.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380689395 + ... + 380690445.

Almost surely, 2^400105105920 is an apocalyptic number.

400105105920 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 400105105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789738453504).

400105105920 is an abundant number, since it is smaller than the sum of its proper divisors (1179371801088).

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

400105105920 is a wasteful number, since it uses less digits than its factorization.

400105105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 400105105920 its reverse (29501501004), we get a palindrome (429606606924).

The spelling of 400105105920 in words is "four hundred billion, one hundred five million, one hundred five thousand, nine hundred twenty".