40360402759680 has 1040 divisors, whose sum is σ = 149273590518624. Its totient is φ = 10426578370560.

The previous prime is 40360402759657. The next prime is 40360402759757. The reversal of 40360402759680 is 8695720406304.

40360402759680 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 0 + 40 + 2 + 7 + 596 + 8 + 0 = 666.

It is a super-2 number, since 2×40360402759680² (a number of 28 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 6779839584 + ... + 6779845536.

Almost surely, 2^{40360402759680} is an apocalyptic number.

40360402759680 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 40360402759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74636795259312).

40360402759680 is an abundant number, since it is smaller than the sum of its proper divisors (108913187758944).

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

40360402759680 is an equidigital number, since it uses as much as digits as its factorization.

40360402759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 40360402759680 in words is "forty trillion, three hundred sixty billion, four hundred two million, seven hundred fifty-nine thousand, six hundred eighty".