30253971602400 has 576 divisors, whose sum is σ = 124158249363456. Its totient is φ = 6227564544000.

The previous prime is 30253971602399. The next prime is 30253971602417. The reversal of 30253971602400 is 420617935203.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7265065 + ... + 10643735.

It is an arithmetic number, because the mean of its divisors is an integer number (215552516256).

Almost surely, 2^{30253971602400} is an apocalyptic number.

30253971602400 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 30253971602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62079124681728).

30253971602400 is an abundant number, since it is smaller than the sum of its proper divisors (93904277761056).

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

30253971602400 is a wasteful number, since it uses less digits than its factorization.

30253971602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378755 (or 3378742 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 30253971602400 in words is "thirty trillion, two hundred fifty-three billion, nine hundred seventy-one million, six hundred two thousand, four hundred".