40079561760 has 432 divisors, whose sum is σ = 168465502296. Its totient is φ = 8621899776.

The previous prime is 40079561713. The next prime is 40079561803. The reversal of 40079561760 is 6716597004.

It is a happy number.

40079561760 is a `hidden beast` number, since 400 + 79 + 5 + 6 + 176 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40068829584 + 10732176 = 200172^2 + 3276^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1182814 + ... + 1216226.

Almost surely, 2^40079561760 is an apocalyptic number.

40079561760 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 40079561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84232751148).

40079561760 is an abundant number, since it is smaller than the sum of its proper divisors (128385940536).

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

40079561760 is a wasteful number, since it uses less digits than its factorization.

40079561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33465 (or 33447 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 40079561760 in words is "forty billion, seventy-nine million, five hundred sixty-one thousand, seven hundred sixty".