401908280752 has 160 divisors (see below), whose sum is σ = 926877818880. Its totient is φ = 166855645440.

The previous prime is 401908280681. The next prime is 401908280789. The reversal of 401908280752 is 257082809104.

It is a super-2 number, since 2×401908280752² (a number of 24 digits) contains 22 as substring.

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, 10511173 + ... + 10549339.

It is an arithmetic number, because the mean of its divisors is an integer number (5792986368).

Almost surely, 2^401908280752 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 401908280752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463438909440).

401908280752 is an abundant number, since it is smaller than the sum of its proper divisors (524969538128).

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

401908280752 is a wasteful number, since it uses less digits than its factorization.

401908280752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38319 (or 38313 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 401908280752 in words is "four hundred one billion, nine hundred eight million, two hundred eighty thousand, seven hundred fifty-two".