13031444640 has 384 divisors, whose sum is σ = 43872192000. Its totient is φ = 3246243840.

The previous prime is 13031444623. The next prime is 13031444653. The reversal of 13031444640 is 4644413031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13031444598 and 13031444607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87459286 + ... + 87459434.

It is an arithmetic number, because the mean of its divisors is an integer number (114250500).

Almost surely, 2^13031444640 is an apocalyptic number.

13031444640 is a gapful number since it is divisible by the number (10) 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 13031444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096000).

13031444640 is an abundant number, since it is smaller than the sum of its proper divisors (30840747360).

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

13031444640 is a wasteful number, since it uses less digits than its factorization.

13031444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13031444640 its reverse (4644413031), we get a palindrome (17675857671).

The spelling of 13031444640 in words is "thirteen billion, thirty-one million, four hundred forty-four thousand, six hundred forty".