40205418618344 has 64 divisors (see below), whose sum is σ = 86397621235200. Its totient is φ = 17182310874624.

The previous prime is 40205418618271. The next prime is 40205418618361. The reversal of 40205418618344 is 44381681450204.

It is a junction number, because it is equal to n+sod(n) for n = 40205418618292 and 40205418618301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40015922 + ... + 41008350.

It is an arithmetic number, because the mean of its divisors is an integer number (1349962831800).

Almost surely, 2^{40205418618344} is an apocalyptic number.

It is an amenable number.

40205418618344 is an abundant number, since it is smaller than the sum of its proper divisors (46192202616856).

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

40205418618344 is a wasteful number, since it uses less digits than its factorization.

40205418618344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994482 (or 994478 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 50.

The spelling of 40205418618344 in words is "forty trillion, two hundred five billion, four hundred eighteen million, six hundred eighteen thousand, three hundred forty-four".