13752721440 has 144 divisors (see below), whose sum is σ = 47458920600. Its totient is φ = 3626151936.

The previous prime is 13752721439. The next prime is 13752721481. The reversal of 13752721440 is 4412725731.

13752721440 is a `hidden beast` number, since 1 + 375 + 272 + 14 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6520239504 + 7232481936 = 80748^2 + 85044^2 .

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 = 13752721395 and 13752721404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74506 + ... + 181814.

Almost surely, 2^13752721440 is an apocalyptic number.

13752721440 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 13752721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23729460300).

13752721440 is an abundant number, since it is smaller than the sum of its proper divisors (33706199160).

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

13752721440 is a wasteful number, since it uses less digits than its factorization.

13752721440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107419 (or 107408 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 13752721440 in words is "thirteen billion, seven hundred fifty-two million, seven hundred twenty-one thousand, four hundred forty".