40079757600 has 432 divisors, whose sum is σ = 152850716928. Its totient is φ = 9843793920.

The previous prime is 40079757593. The next prime is 40079757607. The reversal of 40079757600 is 675797004.

40079757600 is a `hidden beast` number, since 4 + 0 + 0 + 79 + 7 + 576 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40079757593) and next prime (40079757607).

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

It is not an unprimeable number, because it can be changed into a prime (40079757607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5749317 + ... + 5756283.

It is an arithmetic number, because the mean of its divisors is an integer number (353821104).

Almost surely, 2^40079757600 is an apocalyptic number.

40079757600 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 40079757600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76425358464).

40079757600 is an abundant number, since it is smaller than the sum of its proper divisors (112770959328).

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

40079757600 is a wasteful number, since it uses less digits than its factorization.

40079757600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 40079757600 in words is "forty billion, seventy-nine million, seven hundred fifty-seven thousand, six hundred".