40535119872 has 768 divisors, whose sum is σ = 142655385600. Its totient is φ = 11253841920.

The previous prime is 40535119843. The next prime is 40535119883. The reversal of 40535119872 is 27891153504.

40535119872 is a `hidden beast` number, since 4 + 0 + 53 + 511 + 9 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 378832843 + ... + 378832949.

It is an arithmetic number, because the mean of its divisors is an integer number (185749200).

Almost surely, 2^40535119872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40535119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71327692800).

40535119872 is an abundant number, since it is smaller than the sum of its proper divisors (102120265728).

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

40535119872 is a wasteful number, since it uses less digits than its factorization.

40535119872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 40535119872 in words is "forty billion, five hundred thirty-five million, one hundred nineteen thousand, eight hundred seventy-two".