40204382699520 has 1632 divisors, whose sum is σ = 159904313150400. Its totient is φ = 9262633844736.

The previous prime is 40204382699491. The next prime is 40204382699521. The reversal of 40204382699520 is 2599628340204.

40204382699520 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 4 + 3 + 8 + 26 + 99 + 520 = 666.

It is not an unprimeable number, because it can be changed into a prime (40204382699521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70657965796 + ... + 70657966364.

Almost surely, 2^{40204382699520} is an apocalyptic number.

40204382699520 is a gapful number since it is divisible by the number (40) 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 40204382699520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79952156575200).

40204382699520 is an abundant number, since it is smaller than the sum of its proper divisors (119699930450880).

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

40204382699520 is a wasteful number, since it uses less digits than its factorization.

40204382699520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 40204382699520 in words is "forty trillion, two hundred four billion, three hundred eighty-two million, six hundred ninety-nine thousand, five hundred twenty".