350663405400 has 288 divisors, whose sum is σ = 1468232812800. Its totient is φ = 72865094400.

The previous prime is 350663405369. The next prime is 350663405423. The reversal of 350663405400 is 4504366053.

350663405400 is a `hidden beast` number, since 3 + 50 + 6 + 63 + 4 + 0 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1126420 + ... + 1403619.

It is an arithmetic number, because the mean of its divisors is an integer number (5098030600).

Almost surely, 2^350663405400 is an apocalyptic number.

350663405400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350663405400 is an abundant number, since it is smaller than the sum of its proper divisors (1117569407400).

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

350663405400 is a wasteful number, since it uses less digits than its factorization.

350663405400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530079 (or 2530067 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 350663405400 in words is "three hundred fifty billion, six hundred sixty-three million, four hundred five thousand, four hundred".