401131325952 has 1200 divisors, whose sum is σ = 1490434463232. Its totient is φ = 105066823680.

The previous prime is 401131325939. The next prime is 401131325963. The reversal of 401131325952 is 259523131104.

It is a happy number.

401131325952 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 31 + 32 + 595 + 2 = 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7568515558 + ... + 7568515610.

Almost surely, 2^401131325952 is an apocalyptic number.

401131325952 is a gapful number since it is divisible by the number (42) 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 401131325952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745217231616).

401131325952 is an abundant number, since it is smaller than the sum of its proper divisors (1089303137280).

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

401131325952 is an equidigital number, since it uses as much as digits as its factorization.

401131325952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 401131325952 in words is "four hundred one billion, one hundred thirty-one million, three hundred twenty-five thousand, nine hundred fifty-two".