40049335872 has 448 divisors, whose sum is σ = 148302837760. Its totient is φ = 10315081728.

The previous prime is 40049335841. The next prime is 40049335889. The reversal of 40049335872 is 27853394004.

40049335872 is a `hidden beast` number, since 40 + 0 + 493 + 3 + 58 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6758703 + ... + 6764625.

It is an arithmetic number, because the mean of its divisors is an integer number (331033120).

Almost surely, 2^40049335872 is an apocalyptic number.

40049335872 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 40049335872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74151418880).

40049335872 is an abundant number, since it is smaller than the sum of its proper divisors (108253501888).

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

40049335872 is a wasteful number, since it uses less digits than its factorization.

40049335872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007 (or 5991 counting only the distinct ones).

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

The spelling of 40049335872 in words is "forty billion, forty-nine million, three hundred thirty-five thousand, eight hundred seventy-two".