40014130763320 has 512 divisors, whose sum is σ = 113049678643200. Its totient is φ = 12437892403200.

The previous prime is 40014130763273. The next prime is 40014130763353. The reversal of 40014130763320 is 2336703141004.

It is a super-2 number, since 2×40014130763320² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16833877972 + ... + 16833880348.

It is an arithmetic number, because the mean of its divisors is an integer number (220800153600).

Almost surely, 2^{40014130763320} is an apocalyptic number.

40014130763320 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 40014130763320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56524839321600).

40014130763320 is an abundant number, since it is smaller than the sum of its proper divisors (73035547879880).

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

40014130763320 is a wasteful number, since it uses less digits than its factorization.

40014130763320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 40014130763320 in words is "forty trillion, fourteen billion, one hundred thirty million, seven hundred sixty-three thousand, three hundred twenty".