355899940704 has 648 divisors, whose sum is σ = 1300726935144. Its totient is φ = 91968307200.

The previous prime is 355899940703. The next prime is 355899940807. The reversal of 355899940704 is 407049998553.

355899940704 is a `hidden beast` number, since 3 + 5 + 589 + 9 + 9 + 40 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×355899940704² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355899940703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 438840459 + ... + 438841269.

It is an arithmetic number, because the mean of its divisors is an integer number (2007294653).

Almost surely, 2^355899940704 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 355899940704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650363467572).

355899940704 is an abundant number, since it is smaller than the sum of its proper divisors (944826994440).

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

355899940704 is a wasteful number, since it uses less digits than its factorization.

355899940704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 355899940704 in words is "three hundred fifty-five billion, eight hundred ninety-nine million, nine hundred forty thousand, seven hundred four".