401152016 has 40 divisors (see below), whose sum is σ = 853725120. Its totient is φ = 181754496.

The previous prime is 401152007. The next prime is 401152049. The reversal of 401152016 is 610251104.

It is a super-3 number, since 3×401152016³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21695 + ... + 35678.

It is an arithmetic number, because the mean of its divisors is an integer number (21343128).

Almost surely, 2^401152016 is an apocalyptic number.

401152016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

401152016 is an abundant number, since it is smaller than the sum of its proper divisors (452573104).

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

401152016 is a wasteful number, since it uses less digits than its factorization.

401152016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57423 (or 57417 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 401152016 is about 20028.7796932314. The cubic root of 401152016 is about 737.5129656248.

The spelling of 401152016 in words is "four hundred one million, one hundred fifty-two thousand, sixteen".