13240631628000 has 4608 divisors, whose sum is σ = 63502025932800. Its totient is φ = 2690072985600.

The previous prime is 13240631627999. The next prime is 13240631628001. The reversal of 13240631628000 is 82613604231.

13240631628000 is a `hidden beast` number, since 1 + 3 + 24 + 0 + 6 + 3 + 1 + 628 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13240631627999) and next prime (13240631628001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13240631628001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 167602931961 + ... + 167602932039.

It is an arithmetic number, because the mean of its divisors is an integer number (13780821600).

Almost surely, 2^{13240631628000} is an apocalyptic number.

13240631628000 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 13240631628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31751012966400).

13240631628000 is an abundant number, since it is smaller than the sum of its proper divisors (50261394304800).

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

13240631628000 is an equidigital number, since it uses as much as digits as its factorization.

13240631628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13240631628000 in words is "thirteen trillion, two hundred forty billion, six hundred thirty-one million, six hundred twenty-eight thousand".