30745298984400 has 4800 divisors, whose sum is σ = 155300215150080. Its totient is φ = 5618427494400.

The previous prime is 30745298984399. The next prime is 30745298984401. The reversal of 30745298984400 is 448989254703.

30745298984400 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 52 + 98 + 98 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (30745298984399) and next prime (30745298984401).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30745298984401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 91232341032 + ... + 91232341368.

Almost surely, 2^{30745298984400} is an apocalyptic number.

30745298984400 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 30745298984400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77650107575040).

30745298984400 is an abundant number, since it is smaller than the sum of its proper divisors (124554916165680).

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

30745298984400 is a wasteful number, since it uses less digits than its factorization.

30745298984400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 30745298984400 in words is "thirty trillion, seven hundred forty-five billion, two hundred ninety-eight million, nine hundred eighty-four thousand, four hundred".