13279645440 has 360 divisors, whose sum is σ = 47782996800. Its totient is φ = 3521470464.

The previous prime is 13279645439. The next prime is 13279645441. The reversal of 13279645440 is 4454697231.

13279645440 is a `hidden beast` number, since 1 + 32 + 79 + 6 + 4 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13279645439) and next prime (13279645441).

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×13279645440² (a number of 21 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 not an unprimeable number, because it can be changed into a prime (13279645441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36184137 + ... + 36184503.

Almost surely, 2^13279645440 is an apocalyptic number.

13279645440 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 13279645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891498400).

13279645440 is an abundant number, since it is smaller than the sum of its proper divisors (34503351360).

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

13279645440 is an equidigital number, since it uses as much as digits as its factorization.

13279645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13279645440 in words is "thirteen billion, two hundred seventy-nine million, six hundred forty-five thousand, four hundred forty".