3118968230400 has 720 divisors, whose sum is σ = 12569600279808. Its totient is φ = 731713536000.

The previous prime is 3118968230393. The next prime is 3118968230423. The reversal of 3118968230400 is 40328698113.

3118968230400 is a `hidden beast` number, since 3 + 1 + 1 + 8 + 9 + 6 + 8 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 39243502 + ... + 39322898.

Almost surely, 2^{3118968230400} is an apocalyptic number.

3118968230400 is a gapful number since it is divisible by the number (30) 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 3118968230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6284800139904).

3118968230400 is an abundant number, since it is smaller than the sum of its proper divisors (9450632049408).

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

3118968230400 is a wasteful number, since it uses less digits than its factorization.

3118968230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79473 (or 79449 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 3118968230400 in words is "three trillion, one hundred eighteen billion, nine hundred sixty-eight million, two hundred thirty thousand, four hundred".