400590212077320 has 256 divisors, whose sum is σ = 1261656235008000. Its totient is φ = 101618476646400.

The previous prime is 400590212077207. The next prime is 400590212077397. The reversal of 400590212077320 is 23770212095004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3371372871 + ... + 3371491689.

It is an arithmetic number, because the mean of its divisors is an integer number (4928344668000).

Almost surely, 2^{400590212077320} is an apocalyptic number.

400590212077320 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 400590212077320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630828117504000).

400590212077320 is an abundant number, since it is smaller than the sum of its proper divisors (861066022930680).

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

400590212077320 is a wasteful number, since it uses less digits than its factorization.

400590212077320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134284 (or 134280 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 400590212077320 in words is "four hundred trillion, five hundred ninety billion, two hundred twelve million, seventy-seven thousand, three hundred twenty".