40933152000 has 972 divisors, whose sum is σ = 165180241044. Its totient is φ = 9728409600.

The previous prime is 40933151993. The next prime is 40933152011. The reversal of 40933152000 is 25133904.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 39527801856 + 1405350144 = 198816^2 + 37488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1411487986 + ... + 1411488014.

Almost surely, 2^40933152000 is an apocalyptic number.

40933152000 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 40933152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82590120522).

40933152000 is an abundant number, since it is smaller than the sum of its proper divisors (124247089044).

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

40933152000 is a wasteful number, since it uses less digits than its factorization.

40933152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 40933152000 its reverse (25133904), we get a palindrome (40958285904).

The spelling of 40933152000 in words is "forty billion, nine hundred thirty-three million, one hundred fifty-two thousand".