40505939320 has 256 divisors, whose sum is σ = 115445191680. Its totient is φ = 12425011200.

The previous prime is 40505939297. The next prime is 40505939387. The reversal of 40505939320 is 2393950504.

It is a super-2 number, since 2×40505939320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 62994919 + ... + 62995561.

It is an arithmetic number, because the mean of its divisors is an integer number (450957780).

Almost surely, 2^40505939320 is an apocalyptic number.

40505939320 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 40505939320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57722595840).

40505939320 is an abundant number, since it is smaller than the sum of its proper divisors (74939252360).

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

40505939320 is a wasteful number, since it uses less digits than its factorization.

40505939320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 40505939320 in words is "forty billion, five hundred five million, nine hundred thirty-nine thousand, three hundred twenty".