40133664000 has 288 divisors, whose sum is σ = 148118705280. Its totient is φ = 10702080000.

The previous prime is 40133663993. The next prime is 40133664041. The reversal of 40133664000 is 46633104.

40133664000 is a `hidden beast` number, since 4 + 0 + 13 + 3 + 6 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×40133664000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 840775 + ... + 887225.

It is an arithmetic number, because the mean of its divisors is an integer number (514301060).

Almost surely, 2^40133664000 is an apocalyptic number.

40133664000 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 40133664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74059352640).

40133664000 is an abundant number, since it is smaller than the sum of its proper divisors (107985041280).

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

40133664000 is an equidigital number, since it uses as much as digits as its factorization.

40133664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46491 (or 46461 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 40133664000 in words is "forty billion, one hundred thirty-three million, six hundred sixty-four thousand".