30964020144000 has 256 divisors, whose sum is σ = 102877503356160. Its totient is φ = 8238427392000.

The previous prime is 30964020143981. The next prime is 30964020144019. The reversal of 30964020144000 is 44102046903.

It is an interprime number because it is at equal distance from previous prime (30964020143981) and next prime (30964020144019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20535915 + ... + 21992085.

It is an arithmetic number, because the mean of its divisors is an integer number (401865247485).

Almost surely, 2^{30964020144000} is an apocalyptic number.

30964020144000 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 30964020144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51438751678080).

30964020144000 is an abundant number, since it is smaller than the sum of its proper divisors (71913483212160).

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

30964020144000 is a wasteful number, since it uses less digits than its factorization.

30964020144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456646 (or 1456624 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 30964020144000 in words is "thirty trillion, nine hundred sixty-four billion, twenty million, one hundred forty-four thousand".