402104013444 has 432 divisors, whose sum is σ = 1248780624000. Its totient is φ = 108916472448.

The previous prime is 402104013419. The next prime is 402104013449. The reversal of 402104013444 is 444310401204.

402104013444 is a `hidden beast` number, since 4 + 0 + 210 + 4 + 0 + 1 + 3 + 444 = 666.

It is a super-2 number, since 2×402104013444² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (402104013449) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2466895707 + ... + 2466895869.

Almost surely, 2^402104013444 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 402104013444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624390312000).

402104013444 is an abundant number, since it is smaller than the sum of its proper divisors (846676610556).

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

402104013444 is a wasteful number, since it uses less digits than its factorization.

402104013444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 402104013444 its reverse (444310401204), we get a palindrome (846414414648).

The spelling of 402104013444 in words is "four hundred two billion, one hundred four million, thirteen thousand, four hundred forty-four".