40793632307820 has 480 divisors, whose sum is σ = 148861763487360. Its totient is φ = 9158356316160.

The previous prime is 40793632307809. The next prime is 40793632307861. The reversal of 40793632307820 is 2870323639704.

40793632307820 is a `hidden beast` number, since 40 + 7 + 9 + 363 + 230 + 7 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 490402072 + ... + 490485248.

It is an arithmetic number, because the mean of its divisors is an integer number (310128673932).

Almost surely, 2^{40793632307820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40793632307820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74430881743680).

40793632307820 is an abundant number, since it is smaller than the sum of its proper divisors (108068131179540).

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

40793632307820 is a wasteful number, since it uses less digits than its factorization.

40793632307820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83975 (or 83964 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 40793632307820 in words is "forty trillion, seven hundred ninety-three billion, six hundred thirty-two million, three hundred seven thousand, eight hundred twenty".