8041738778640 has 240 divisors, whose sum is σ = 31325631662208. Its totient is φ = 1810677141504.

The previous prime is 8041738778599. The next prime is 8041738778683. The reversal of 8041738778640 is 468778371408.

8041738778640 is a `hidden beast` number, since 8 + 0 + 417 + 38 + 77 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11569657 + ... + 12245016.

Almost surely, 2^{8041738778640} is an apocalyptic number.

8041738778640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8041738778640 is an abundant number, since it is smaller than the sum of its proper divisors (23283892883568).

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

8041738778640 is a wasteful number, since it uses less digits than its factorization.

8041738778640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23814766 (or 23814757 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 8041738778640 in words is "eight trillion, forty-one billion, seven hundred thirty-eight million, seven hundred seventy-eight thousand, six hundred forty".