400755109320 has 288 divisors, whose sum is σ = 1407047803200. Its totient is φ = 98875385856.

The previous prime is 400755109319. The next prime is 400755109361. The reversal of 400755109320 is 23901557004.

400755109320 is a `hidden beast` number, since 40 + 0 + 75 + 510 + 9 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 6105717 + ... + 6171003.

It is an arithmetic number, because the mean of its divisors is an integer number (4885582650).

Almost surely, 2^400755109320 is an apocalyptic number.

400755109320 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 400755109320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703523901600).

400755109320 is an abundant number, since it is smaller than the sum of its proper divisors (1006292693880).

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

400755109320 is a wasteful number, since it uses less digits than its factorization.

400755109320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65397 (or 65373 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 400755109320 in words is "four hundred billion, seven hundred fifty-five million, one hundred nine thousand, three hundred twenty".