13125432452440 has 128 divisors (see below), whose sum is σ = 37717429317120. Its totient is φ = 3991262284800.

The previous prime is 13125432452417. The next prime is 13125432452459. The reversal of 13125432452440 is 4425423452131.

It is a super-2 number, since 2×13125432452440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13125432452393 and 13125432452402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51843282 + ... + 52095841.

It is an arithmetic number, because the mean of its divisors is an integer number (294667416540).

Almost surely, 2^{13125432452440} is an apocalyptic number.

13125432452440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13125432452440 is an abundant number, since it is smaller than the sum of its proper divisors (24591996864680).

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

13125432452440 is a wasteful number, since it uses less digits than its factorization.

13125432452440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103939193 (or 103939189 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 13125432452440 in words is "thirteen trillion, one hundred twenty-five billion, four hundred thirty-two million, four hundred fifty-two thousand, four hundred forty".