30901802400 has 288 divisors, whose sum is σ = 127728074880. Its totient is φ = 7063234560.

The previous prime is 30901802359. The next prime is 30901802401. The reversal of 30901802400 is 420810903.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×30901802400³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30901802401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49012 + ... + 253388.

It is an arithmetic number, because the mean of its divisors is an integer number (443500260).

Almost surely, 2^30901802400 is an apocalyptic number.

30901802400 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 30901802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63864037440).

30901802400 is an abundant number, since it is smaller than the sum of its proper divisors (96826272480).

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

30901802400 is a wasteful number, since it uses less digits than its factorization.

30901802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204413 (or 204394 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 30901802400 in words is "thirty billion, nine hundred one million, eight hundred two thousand, four hundred".