2001315310400 has 252 divisors, whose sum is σ = 5913281275776. Its totient is φ = 664030080000.

The previous prime is 2001315310387. The next prime is 2001315310411. The reversal of 2001315310400 is 40135131002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2018675 + ... + 2842125.

It is an arithmetic number, because the mean of its divisors is an integer number (23465401888).

Almost surely, 2^{2001315310400} is an apocalyptic number.

2001315310400 is a gapful number since it is divisible by the number (20) 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 2001315310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956640637888).

2001315310400 is an abundant number, since it is smaller than the sum of its proper divisors (3911965965376).

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

2001315310400 is a wasteful number, since it uses less digits than its factorization.

2001315310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823518 (or 823496 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The spelling of 2001315310400 in words is "two trillion, one billion, three hundred fifteen million, three hundred ten thousand, four hundred".