30653300400 has 240 divisors, whose sum is σ = 103575811200. Its totient is φ = 7727892480.

The previous prime is 30653300369. The next prime is 30653300429. The reversal of 30653300400 is 400335603.

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 (24).

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, 14066511 + ... + 14068689.

It is an arithmetic number, because the mean of its divisors is an integer number (431565880).

Almost surely, 2^30653300400 is an apocalyptic number.

30653300400 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 30653300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51787905600).

30653300400 is an abundant number, since it is smaller than the sum of its proper divisors (72922510800).

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

30653300400 is a wasteful number, since it uses less digits than its factorization.

30653300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The spelling of 30653300400 in words is "thirty billion, six hundred fifty-three million, three hundred thousand, four hundred".