40535712000 has 432 divisors, whose sum is σ = 166704650112. Its totient is φ = 9264844800.

The previous prime is 40535711989. The next prime is 40535712001. The reversal of 40535712000 is 21753504.

It is a happy number.

40535712000 is a `hidden beast` number, since 4 + 0 + 535 + 7 + 120 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40535712001) 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 47 ways as a sum of consecutive naturals, for example, 2005947 + ... + 2026053.

Almost surely, 2^40535712000 is an apocalyptic number.

40535712000 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 40535712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83352325056).

40535712000 is an abundant number, since it is smaller than the sum of its proper divisors (126168938112).

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

40535712000 is a wasteful number, since it uses less digits than its factorization.

40535712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20151 (or 20124 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 40535712000 in words is "forty billion, five hundred thirty-five million, seven hundred twelve thousand".