402400453104 has 480 divisors, whose sum is σ = 1306578873600. Its totient is φ = 114577182720.

The previous prime is 402400453073. The next prime is 402400453111. The reversal of 402400453104 is 401354004204.

It is a happy number.

It is a super-2 number, since 2×402400453104² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 312179692 + ... + 312180980.

It is an arithmetic number, because the mean of its divisors is an integer number (2722039320).

Almost surely, 2^402400453104 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 402400453104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653289436800).

402400453104 is an abundant number, since it is smaller than the sum of its proper divisors (904178420496).

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

402400453104 is a wasteful number, since it uses less digits than its factorization.

402400453104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 402400453104 its reverse (401354004204), we get a palindrome (803754457308).

The spelling of 402400453104 in words is "four hundred two billion, four hundred million, four hundred fifty-three thousand, one hundred four".