13573131949440 has 1536 divisors, whose sum is σ = 58944769228800. Its totient is φ = 2915437142016.

The previous prime is 13573131949427. The next prime is 13573131949483. The reversal of 13573131949440 is 4494913137531.

13573131949440 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 3 + 1 + 3 + 194 + 9 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2626885737 + ... + 2626890903.

It is an arithmetic number, because the mean of its divisors is an integer number (38375500800).

Almost surely, 2^{13573131949440} is an apocalyptic number.

13573131949440 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 13573131949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29472384614400).

13573131949440 is an abundant number, since it is smaller than the sum of its proper divisors (45371637279360).

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

13573131949440 is a wasteful number, since it uses less digits than its factorization.

13573131949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 13573131949440 in words is "thirteen trillion, five hundred seventy-three billion, one hundred thirty-one million, nine hundred forty-nine thousand, four hundred forty".