40405372560 has 700 divisors, whose sum is σ = 166811726268. Its totient is φ = 9061258752.

The previous prime is 40405372541. The next prime is 40405372573. The reversal of 40405372560 is 6527350404.

40405372560 is a `hidden beast` number, since 4 + 0 + 40 + 53 + 7 + 2 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21956126976 + 18449245584 = 148176^2 + 135828^2 .

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 139 ways as a sum of consecutive naturals, for example, 762365494 + ... + 762365546.

Almost surely, 2^40405372560 is an apocalyptic number.

40405372560 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 40405372560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83405863134).

40405372560 is an abundant number, since it is smaller than the sum of its proper divisors (126406353708).

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

40405372560 is an frugal number, since it uses more digits than its factorization.

40405372560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 40405372560 in words is "forty billion, four hundred five million, three hundred seventy-two thousand, five hundred sixty".