2013364921440 has 384 divisors, whose sum is σ = 6783024955392. Its totient is φ = 500814673920.

The previous prime is 2013364921391. The next prime is 2013364921471. The reversal of 2013364921440 is 441294633102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146836185 + ... + 146849895.

It is an arithmetic number, because the mean of its divisors is an integer number (17664127488).

Almost surely, 2^{2013364921440} is an apocalyptic number.

2013364921440 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 2013364921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391512477696).

2013364921440 is an abundant number, since it is smaller than the sum of its proper divisors (4769660033952).

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

2013364921440 is a wasteful number, since it uses less digits than its factorization.

2013364921440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14082 (or 14074 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 2013364921440 in words is "two trillion, thirteen billion, three hundred sixty-four million, nine hundred twenty-one thousand, four hundred forty".