13642908140700 has 864 divisors, whose sum is σ = 46477322760960. Its totient is φ = 3466955520000.

The previous prime is 13642908140683. The next prime is 13642908140711. The reversal of 13642908140700 is 704180924631.

13642908140700 is a `hidden beast` number, since 13 + 6 + 429 + 0 + 8 + 140 + 70 + 0 = 666.

It is a super-2 number, since 2×13642908140700² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24232518619 + ... + 24232519181.

It is an arithmetic number, because the mean of its divisors is an integer number (53793197640).

Almost surely, 2^{13642908140700} is an apocalyptic number.

13642908140700 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 13642908140700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23238661380480).

13642908140700 is an abundant number, since it is smaller than the sum of its proper divisors (32834414620260).

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

13642908140700 is a wasteful number, since it uses less digits than its factorization.

13642908140700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 13642908140700 in words is "thirteen trillion, six hundred forty-two billion, nine hundred eight million, one hundred forty thousand, seven hundred".