13462331984640 has 1440 divisors, whose sum is σ = 60592496380416. Its totient is φ = 2772426424320.

The previous prime is 13462331984623. The next prime is 13462331984657. The reversal of 13462331984640 is 4648913326431.

13462331984640 is a `hidden beast` number, since 1 + 3 + 4 + 62 + 3 + 31 + 98 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13462331984623) and next prime (13462331984657).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×13462331984640² (a number of 27 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 902112219 + ... + 902127141.

Almost surely, 2^{13462331984640} is an apocalyptic number.

13462331984640 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 13462331984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30296248190208).

13462331984640 is an abundant number, since it is smaller than the sum of its proper divisors (47130164395776).

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

13462331984640 is a wasteful number, since it uses less digits than its factorization.

13462331984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15087 (or 15064 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 13462331984640 in words is "thirteen trillion, four hundred sixty-two billion, three hundred thirty-one million, nine hundred eighty-four thousand, six hundred forty".