40409953584 has 640 divisors, whose sum is σ = 146066651136. Its totient is φ = 9289728000.

The previous prime is 40409953501. The next prime is 40409953603. The reversal of 40409953584 is 48535990404.

40409953584 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 2×40409953584² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143807524 + ... + 143807804.

Almost surely, 2^40409953584 is an apocalyptic number.

40409953584 is a gapful number since it is divisible by the number (44) 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 40409953584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73033325568).

40409953584 is an abundant number, since it is smaller than the sum of its proper divisors (105656697552).

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

40409953584 is a wasteful number, since it uses less digits than its factorization.

40409953584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 40409953584 in words is "forty billion, four hundred nine million, nine hundred fifty-three thousand, five hundred eighty-four".