13621263840 has 144 divisors (see below), whose sum is σ = 46934360928. Its totient is φ = 3597032448.

The previous prime is 13621263823. The next prime is 13621263841. The reversal of 13621263840 is 4836212631.

13621263840 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 12 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 13621263795 and 13621263804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13621263841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102402 + ... + 194238.

It is an arithmetic number, because the mean of its divisors is an integer number (325933062).

Almost surely, 2^13621263840 is an apocalyptic number.

13621263840 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 13621263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23467180464).

13621263840 is an abundant number, since it is smaller than the sum of its proper divisors (33313097088).

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

13621263840 is a wasteful number, since it uses less digits than its factorization.

13621263840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91961 (or 91950 counting only the distinct ones).

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

The spelling of 13621263840 in words is "thirteen billion, six hundred twenty-one million, two hundred sixty-three thousand, eight hundred forty".