402106592640300 has 144 divisors (see below), whose sum is σ = 1179180627609600. Its totient is φ = 105782096217600.

The previous prime is 402106592640251. The next prime is 402106592640413. The reversal of 402106592640300 is 3046295601204.

It is a super-2 number, since 2×402106592640300² (a number of 30 digits) contains 22 as substring.

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, 5431516 + ... + 28874115.

It is an arithmetic number, because the mean of its divisors is an integer number (8188754358400).

Almost surely, 2^{402106592640300} 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 402106592640300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589590313804800).

402106592640300 is an abundant number, since it is smaller than the sum of its proper divisors (777074034969300).

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

402106592640300 is a wasteful number, since it uses less digits than its factorization.

402106592640300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34306176 (or 34306169 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 402106592640300 in words is "four hundred two trillion, one hundred six billion, five hundred ninety-two million, six hundred forty thousand, three hundred".