40351017799680 has 1664 divisors, whose sum is σ = 155177282469888. Its totient is φ = 8761519374336.

The previous prime is 40351017799679. The next prime is 40351017799721. The reversal of 40351017799680 is 8699771015304.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180946268049 + ... + 180946268271.

Almost surely, 2^{40351017799680} is an apocalyptic number.

40351017799680 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 40351017799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77588641234944).

40351017799680 is an abundant number, since it is smaller than the sum of its proper divisors (114826264670208).

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

40351017799680 is a wasteful number, since it uses less digits than its factorization.

40351017799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 40351017799680 in words is "forty trillion, three hundred fifty-one billion, seventeen million, seven hundred ninety-nine thousand, six hundred eighty".