13574172961440 has 1152 divisors, whose sum is σ = 60126074910720. Its totient is φ = 2815415635968.

The previous prime is 13574172961403. The next prime is 13574172961451. The reversal of 13574172961440 is 4416927147531.

13574172961440 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 4 + 17 + 2 + 9 + 614 + 4 + 0 = 666.

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

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, 208714207 + ... + 208779233.

It is an arithmetic number, because the mean of its divisors is an integer number (52192773360).

Almost surely, 2^{13574172961440} is an apocalyptic number.

13574172961440 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 13574172961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30063037455360).

13574172961440 is an abundant number, since it is smaller than the sum of its proper divisors (46551901949280).

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

13574172961440 is a wasteful number, since it uses less digits than its factorization.

13574172961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65136 (or 65116 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 13574172961440 in words is "thirteen trillion, five hundred seventy-four billion, one hundred seventy-two million, nine hundred sixty-one thousand, four hundred forty".