2013999057408 has 320 divisors, whose sum is σ = 5876800110720. Its totient is φ = 609151352832.

The previous prime is 2013999057403. The next prime is 2013999057431. The reversal of 2013999057408 is 8047509993102.

It is not an unprimeable number, because it can be changed into a prime (2013999057401) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 771941608 + ... + 771944216.

It is an arithmetic number, because the mean of its divisors is an integer number (18365000346).

Almost surely, 2^{2013999057408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013999057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938400055360).

2013999057408 is an abundant number, since it is smaller than the sum of its proper divisors (3862801053312).

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

2013999057408 is a wasteful number, since it uses less digits than its factorization.

2013999057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 2013999057408 in words is "two trillion, thirteen billion, nine hundred ninety-nine million, fifty-seven thousand, four hundred eight".