401334912 has 448 divisors, whose sum is σ = 1444858560. Its totient is φ = 109486080.

The previous prime is 401334911. The next prime is 401334919. The reversal of 401334912 is 219433104.

401334912 is a `hidden beast` number, since 40 + 133 + 491 + 2 = 666.

It is a super-2 number, since 2×401334912² = 322139423180095488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401334911) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17449333 + ... + 17449355.

Almost surely, 2^401334912 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 401334912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722429280).

401334912 is an abundant number, since it is smaller than the sum of its proper divisors (1043523648).

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

401334912 is a wasteful number, since it uses less digits than its factorization.

401334912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 401334912 is about 20033.3450027698. The cubic root of 401334912 is about 737.6250325981.

The spelling of 401334912 in words is "four hundred one million, three hundred thirty-four thousand, nine hundred twelve".