13167622621440 has 1440 divisors, whose sum is σ = 55205565972480. Its totient is φ = 2934780346368.

The previous prime is 13167622621423. The next prime is 13167622621511. The reversal of 13167622621440 is 4412622676131.

13167622621440 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 7 + 622 + 6 + 2 + 14 + 4 + 0 = 666.

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

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

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, 4758806937 + ... + 4758809703.

It is an arithmetic number, because the mean of its divisors is an integer number (38337198592).

Almost surely, 2^{13167622621440} is an apocalyptic number.

13167622621440 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 13167622621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27602782986240).

13167622621440 is an abundant number, since it is smaller than the sum of its proper divisors (42037943351040).

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

13167622621440 is an equidigital number, since it uses as much as digits as its factorization.

13167622621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13167622621440 in words is "thirteen trillion, one hundred sixty-seven billion, six hundred twenty-two million, six hundred twenty-one thousand, four hundred forty".