13142612658240 has 1344 divisors, whose sum is σ = 51800732884992. Its totient is φ = 3034954137600.

The previous prime is 13142612658181. The next prime is 13142612658257. The reversal of 13142612658240 is 4285621624131.

13142612658240 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 6 + 1 + 26 + 582 + 40 = 666.

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 191 ways as a sum of consecutive naturals, for example, 19882923510 + ... + 19882924170.

It is an arithmetic number, because the mean of its divisors is an integer number (38542211968).

Almost surely, 2^{13142612658240} is an apocalyptic number.

13142612658240 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 13142612658240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25900366442496).

13142612658240 is an abundant number, since it is smaller than the sum of its proper divisors (38658120226752).

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

13142612658240 is a wasteful number, since it uses less digits than its factorization.

13142612658240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13142612658240 in words is "thirteen trillion, one hundred forty-two billion, six hundred twelve million, six hundred fifty-eight thousand, two hundred forty".