43726400640 has 512 divisors, whose sum is σ = 169564147200. Its totient is φ = 10583654400.

The previous prime is 43726400617. The next prime is 43726400659. The reversal of 43726400640 is 4600462734.

43726400640 is a `hidden beast` number, since 4 + 3 + 7 + 2 + 6 + 4 + 0 + 0 + 640 = 666.

It is a super-2 number, since 2×43726400640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 43726400595 and 43726400604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13701445 + ... + 13704635.

It is an arithmetic number, because the mean of its divisors is an integer number (331179975).

Almost surely, 2^43726400640 is an apocalyptic number.

43726400640 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 43726400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84782073600).

43726400640 is an abundant number, since it is smaller than the sum of its proper divisors (125837746560).

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

43726400640 is a wasteful number, since it uses less digits than its factorization.

43726400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3293 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 43726400640 in words is "forty-three billion, seven hundred twenty-six million, four hundred thousand, six hundred forty".