40402320193440 has 144 divisors (see below), whose sum is σ = 138040854607656. Its totient is φ = 10760828774400.

The previous prime is 40402320193373. The next prime is 40402320193489. The reversal of 40402320193440 is 4439102320404.

40402320193440 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 2 + 3 + 20 + 193 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33678940862736 + 6723379330704 = 5803356^2 + 2592948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 40402320193395 and 40402320193404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15904951 + ... + 18269430.

Almost surely, 2^{40402320193440} is an apocalyptic number.

40402320193440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40402320193440 is an abundant number, since it is smaller than the sum of its proper divisors (97638534414216).

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

40402320193440 is a wasteful number, since it uses less digits than its factorization.

40402320193440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34175223 (or 34175212 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 40402320193440 in words is "forty trillion, four hundred two billion, three hundred twenty million, one hundred ninety-three thousand, four hundred forty".