401109972 has 96 divisors (see below), whose sum is σ = 1005312000. Its totient is φ = 124198272.

The previous prime is 401109971. The next prime is 401109997. The reversal of 401109972 is 279901104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401109971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2015529 + ... + 2015727.

It is an arithmetic number, because the mean of its divisors is an integer number (10472000).

Almost surely, 2^401109972 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 401109972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502656000).

401109972 is an abundant number, since it is smaller than the sum of its proper divisors (604202028).

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

401109972 is a wasteful number, since it uses less digits than its factorization.

401109972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 401109972 is about 20027.7300760720. The cubic root of 401109972 is about 737.4871989351.

The spelling of 401109972 in words is "four hundred one million, one hundred nine thousand, nine hundred seventy-two".