40076713403440 has 160 divisors (see below), whose sum is σ = 106735708727424. Its totient is φ = 13708859473920.

The previous prime is 40076713403437. The next prime is 40076713403443. The reversal of 40076713403440 is 4430431767004.

It is an interprime number because it is at equal distance from previous prime (40076713403437) and next prime (40076713403443).

It is a super-2 number, since 2×40076713403440² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40076713403443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461345610 + ... + 461432470.

Almost surely, 2^{40076713403440} is an apocalyptic number.

40076713403440 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 40076713403440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53367854363712).

40076713403440 is an abundant number, since it is smaller than the sum of its proper divisors (66658995323984).

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

40076713403440 is a wasteful number, since it uses less digits than its factorization.

40076713403440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88775 (or 88769 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 43.

The spelling of 40076713403440 in words is "forty trillion, seventy-six billion, seven hundred thirteen million, four hundred three thousand, four hundred forty".