40779853364736 has 480 divisors, whose sum is σ = 125333252890560. Its totient is φ = 12720302456832.

The previous prime is 40779853364693. The next prime is 40779853364749. The reversal of 40779853364736 is 63746335897704.

40779853364736 is a `hidden beast` number, since 4 + 0 + 7 + 79 + 8 + 53 + 36 + 473 + 6 = 666.

It is a super-3 number, since 3×40779853364736³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

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, 12629249970 + ... + 12629253198.

It is an arithmetic number, because the mean of its divisors is an integer number (261110943522).

Almost surely, 2^{40779853364736} 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 40779853364736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62666626445280).

40779853364736 is an abundant number, since it is smaller than the sum of its proper divisors (84553399525824).

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

40779853364736 is a wasteful number, since it uses less digits than its factorization.

40779853364736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4146 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 72.

The spelling of 40779853364736 in words is "forty trillion, seven hundred seventy-nine billion, eight hundred fifty-three million, three hundred sixty-four thousand, seven hundred thirty-six".