40726393344 has 720 divisors, whose sum is σ = 150773635584. Its totient is φ = 10351411200.

The previous prime is 40726393343. The next prime is 40726393427. The reversal of 40726393344 is 44339362704.

40726393344 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 639 + 3 + 3 + 4 + 4 = 666.

40726393344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40726393344² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40726393344.

It is not an unprimeable number, because it can be changed into a prime (40726393343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168989064 + ... + 168989304.

Almost surely, 2^40726393344 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 40726393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75386817792).

40726393344 is an abundant number, since it is smaller than the sum of its proper divisors (110047242240).

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

40726393344 is a wasteful number, since it uses less digits than its factorization.

40726393344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 40726393344 in words is "forty billion, seven hundred twenty-six million, three hundred ninety-three thousand, three hundred forty-four".