30015365120400 has 240 divisors, whose sum is σ = 109450496148480. Its totient is φ = 6960084595200.

The previous prime is 30015365120383. The next prime is 30015365120431. The reversal of 30015365120400 is 402156351003.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 49128820 + ... + 49736019.

It is an arithmetic number, because the mean of its divisors is an integer number (456043733952).

Almost surely, 2^{30015365120400} is an apocalyptic number.

30015365120400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30015365120400 is an abundant number, since it is smaller than the sum of its proper divisors (79435131028080).

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

30015365120400 is a wasteful number, since it uses less digits than its factorization.

30015365120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98864894 (or 98864883 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 30015365120400 in words is "thirty trillion, fifteen billion, three hundred sixty-five million, one hundred twenty thousand, four hundred".