402355537920 has 1440 divisors, whose sum is σ = 1736119344960. Its totient is φ = 87296901120.

The previous prime is 402355537873. The next prime is 402355537933. The reversal of 402355537920 is 29735553204.

402355537920 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 5 + 553 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3071416255 + ... + 3071416385.

It is an arithmetic number, because the mean of its divisors is an integer number (1205638434).

Almost surely, 2^402355537920 is an apocalyptic number.

402355537920 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 402355537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868059672480).

402355537920 is an abundant number, since it is smaller than the sum of its proper divisors (1333763807040).

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

402355537920 is a wasteful number, since it uses less digits than its factorization.

402355537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 402355537920 in words is "four hundred two billion, three hundred fifty-five million, five hundred thirty-seven thousand, nine hundred twenty".