13725408362040 has 192 divisors, whose sum is σ = 44657274261600. Its totient is φ = 3656033750016.

The previous prime is 13725408362033. The next prime is 13725408362069. The reversal of 13725408362040 is 4026380452731.

13725408362040 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 5 + 408 + 36 + 204 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1496278894 + ... + 1496288066.

Almost surely, 2^{13725408362040} is an apocalyptic number.

13725408362040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13725408362040 is an abundant number, since it is smaller than the sum of its proper divisors (30931865899560).

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

13725408362040 is a wasteful number, since it uses less digits than its factorization.

13725408362040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13366 (or 13359 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 13725408362040 in words is "thirteen trillion, seven hundred twenty-five billion, four hundred eight million, three hundred sixty-two thousand, forty".