13418355950640 has 800 divisors, whose sum is σ = 53048017566720. Its totient is φ = 3122588786688.

The previous prime is 13418355950639. The next prime is 13418355950731. The reversal of 13418355950640 is 4605955381431.

13418355950640 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 8 + 3 + 5 + 595 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 98304679 + ... + 98441081.

Almost surely, 2^{13418355950640} is an apocalyptic number.

13418355950640 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 13418355950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26524008783360).

13418355950640 is an abundant number, since it is smaller than the sum of its proper divisors (39629661616080).

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

13418355950640 is a wasteful number, since it uses less digits than its factorization.

13418355950640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136511 (or 136496 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 13418355950640 in words is "thirteen trillion, four hundred eighteen billion, three hundred fifty-five million, nine hundred fifty thousand, six hundred forty".