40435960320 has 480 divisors, whose sum is σ = 167096001600. Its totient is φ = 9241731072.

The previous prime is 40435960309. The next prime is 40435960339. The reversal of 40435960320 is 2306953404.

40435960320 is a `hidden beast` number, since 4 + 0 + 43 + 5 + 9 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×40435960320² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3380911 + ... + 3392849.

It is an arithmetic number, because the mean of its divisors is an integer number (348116670).

Almost surely, 2^40435960320 is an apocalyptic number.

40435960320 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 40435960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83548000800).

40435960320 is an abundant number, since it is smaller than the sum of its proper divisors (126660041280).

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

40435960320 is a wasteful number, since it uses less digits than its factorization.

40435960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11985 (or 11956 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 40435960320 in words is "forty billion, four hundred thirty-five million, nine hundred sixty thousand, three hundred twenty".