402162374400 has 432 divisors, whose sum is σ = 1363420423008. Its totient is φ = 104333312000.

The previous prime is 402162374399. The next prime is 402162374417. The reversal of 402162374400 is 4473261204.

402162374400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504594802 + ... + 504595598.

It is an arithmetic number, because the mean of its divisors is an integer number (3156065794).

Almost surely, 2^402162374400 is an apocalyptic number.

402162374400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402162374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681710211504).

402162374400 is an abundant number, since it is smaller than the sum of its proper divisors (961258048608).

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

402162374400 is a wasteful number, since it uses less digits than its factorization.

402162374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 402162374400 in words is "four hundred two billion, one hundred sixty-two million, three hundred seventy-four thousand, four hundred".