30401712806400 has 1920 divisors, whose sum is σ = 124032516410880. Its totient is φ = 7245987840000.

The previous prime is 30401712806261. The next prime is 30401712806519. The reversal of 30401712806400 is 460821710403.

30401712806400 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 1 + 7 + 1 + 2 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27814924254 + ... + 27814925346.

It is an arithmetic number, because the mean of its divisors is an integer number (64600268964).

Almost surely, 2^{30401712806400} is an apocalyptic number.

30401712806400 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 30401712806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62016258205440).

30401712806400 is an abundant number, since it is smaller than the sum of its proper divisors (93630803604480).

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

30401712806400 is a wasteful number, since it uses less digits than its factorization.

30401712806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 30401712806400 in words is "thirty trillion, four hundred one billion, seven hundred twelve million, eight hundred six thousand, four hundred".