43940351115264 has 544 divisors, whose sum is σ = 129552673536000. Its totient is φ = 13184576520192.

The previous prime is 43940351115229. The next prime is 43940351115337. The reversal of 43940351115264 is 46251115304934.

It is a tau number, because it is divible by the number of its divisors (544).

It is a super-2 number, since 2×43940351115264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10565122017 + ... + 10565126175.

Almost surely, 2^{43940351115264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43940351115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64776336768000).

43940351115264 is an abundant number, since it is smaller than the sum of its proper divisors (85612322420736).

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

43940351115264 is a wasteful number, since it uses less digits than its factorization.

43940351115264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4349 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 43940351115264 in words is "forty-three trillion, nine hundred forty billion, three hundred fifty-one million, one hundred fifteen thousand, two hundred sixty-four".