40079134872 has 288 divisors, whose sum is σ = 129747618000. Its totient is φ = 11138093568.

The previous prime is 40079134861. The next prime is 40079134877. The reversal of 40079134872 is 27843197004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40079134877) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52944318 + ... + 52945074.

Almost surely, 2^40079134872 is an apocalyptic number.

40079134872 is a gapful number since it is divisible by the number (42) 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 40079134872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64873809000).

40079134872 is an abundant number, since it is smaller than the sum of its proper divisors (89668483128).

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

40079134872 is a wasteful number, since it uses less digits than its factorization.

40079134872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40079134872 in words is "forty billion, seventy-nine million, one hundred thirty-four thousand, eight hundred seventy-two".