40079660544 has 900 divisors, whose sum is σ = 153897423372. Its totient is φ = 10346434560.

The previous prime is 40079660527. The next prime is 40079660557. The reversal of 40079660544 is 44506697004.

40079660544 is a `hidden beast` number, since 40 + 0 + 7 + 9 + 6 + 60 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40079660544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 245887407 + ... + 245887569.

Almost surely, 2^40079660544 is an apocalyptic number.

40079660544 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 40079660544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76948711686).

40079660544 is an abundant number, since it is smaller than the sum of its proper divisors (113817762828).

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

40079660544 is a wasteful number, since it uses less digits than its factorization.

40079660544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 40079660544 in words is "forty billion, seventy-nine million, six hundred sixty thousand, five hundred forty-four".