400756822080 has 224 divisors, whose sum is σ = 1340037350400. Its totient is φ = 101193504768.

The previous prime is 400756822073. The next prime is 400756822091. The reversal of 400756822080 is 80228657004.

It is a happy number.

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, 48496029 + ... + 48504291.

It is an arithmetic number, because the mean of its divisors is an integer number (5982309600).

Almost surely, 2^400756822080 is an apocalyptic number.

400756822080 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 400756822080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670018675200).

400756822080 is an abundant number, since it is smaller than the sum of its proper divisors (939280528320).

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

400756822080 is a wasteful number, since it uses less digits than its factorization.

400756822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10961 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 400756822080 in words is "four hundred billion, seven hundred fifty-six million, eight hundred twenty-two thousand, eighty".