40309855358976 has 1456 divisors, whose sum is σ = 145215248302080. Its totient is φ = 10933717893120.

The previous prime is 40309855358959. The next prime is 40309855359013. The reversal of 40309855358976 is 67985355890304.

40309855358976 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 9 + 8 + 5 + 535 + 89 + 7 + 6 = 666.

It is a super-2 number, since 2×40309855358976² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 91821993765 + ... + 91821994203.

Almost surely, 2^{40309855358976} is an apocalyptic number.

40309855358976 is a gapful number since it is divisible by the number (46) 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 40309855358976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72607624151040).

40309855358976 is an abundant number, since it is smaller than the sum of its proper divisors (104905392943104).

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

40309855358976 is an equidigital number, since it uses as much as digits as its factorization.

40309855358976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 979776000, while the sum is 72.

The spelling of 40309855358976 in words is "forty trillion, three hundred nine billion, eight hundred fifty-five million, three hundred fifty-eight thousand, nine hundred seventy-six".