40099593715776 has 189 divisors, whose sum is σ = 133707220235901. Its totient is φ = 11456722819584.

The previous prime is 40099593715739. The next prime is 40099593715777. The reversal of 40099593715776 is 67751739599004.

The square root of 40099593715776 is 6332424.

It is a perfect power (a square), and thus also a powerful number.

40099593715776 is a `hidden beast` number, since 4 + 0 + 0 + 99 + 59 + 371 + 57 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6178008513600 + 33921585202176 = 2485560^2 + 5824224^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (40099593715777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1063828386 + ... + 1063866078.

Almost surely, 2^{40099593715776} is an apocalyptic number.

40099593715776 is the 6332424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40099593715776

40099593715776 is an abundant number, since it is smaller than the sum of its proper divisors (93607626520125).

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

40099593715776 is an frugal number, since it uses more digits than its factorization.

40099593715776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75418 (or 37705 counting only the distinct ones).

The product of its (nonzero) digits is 450084600, while the sum is 72.

The spelling of 40099593715776 in words is "forty trillion, ninety-nine billion, five hundred ninety-three million, seven hundred fifteen thousand, seven hundred seventy-six".