13488427031040 has 2560 divisors, whose sum is σ = 56551780454400. Its totient is φ = 3018471505920.

The previous prime is 13488427031033. The next prime is 13488427031153. The reversal of 13488427031040 is 4013072488431.

13488427031040 is a `hidden beast` number, since 1 + 348 + 8 + 4 + 270 + 31 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 255 ways as a sum of consecutive naturals, for example, 82751085999 + ... + 82751086161.

It is an arithmetic number, because the mean of its divisors is an integer number (22090539240).

Almost surely, 2^{13488427031040} is an apocalyptic number.

13488427031040 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 13488427031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28275890227200).

13488427031040 is an abundant number, since it is smaller than the sum of its proper divisors (43063353423360).

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

13488427031040 is a wasteful number, since it uses less digits than its factorization.

13488427031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 13488427031040 in words is "thirteen trillion, four hundred eighty-eight billion, four hundred twenty-seven million, thirty-one thousand, forty".