13141578240 has 640 divisors, whose sum is σ = 53998686720. Its totient is φ = 2967404544.

The previous prime is 13141578239. The next prime is 13141578283. The reversal of 13141578240 is 4287514131.

13141578240 is a `hidden beast` number, since 1 + 3 + 1 + 41 + 578 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 13141578195 and 13141578204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75962794 + ... + 75962966.

It is an arithmetic number, because the mean of its divisors is an integer number (84372948).

Almost surely, 2^13141578240 is an apocalyptic number.

13141578240 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 13141578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26999343360).

13141578240 is an abundant number, since it is smaller than the sum of its proper divisors (40857108480).

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

13141578240 is a wasteful number, since it uses less digits than its factorization.

13141578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 13141578240 in words is "thirteen billion, one hundred forty-one million, five hundred seventy-eight thousand, two hundred forty".