40133072787520 has 112 divisors (see below), whose sum is σ = 96859939579200. Its totient is φ = 15836588742656.

The previous prime is 40133072787491. The next prime is 40133072787553. The reversal of 40133072787520 is 2578727033104.

It is a super-3 number, since 3×40133072787520³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 15 ways as a sum of consecutive naturals, for example, 17034306 + ... + 19246654.

It is an arithmetic number, because the mean of its divisors is an integer number (864820889100).

Almost surely, 2^{40133072787520} is an apocalyptic number.

40133072787520 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 40133072787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48429969789600).

40133072787520 is an abundant number, since it is smaller than the sum of its proper divisors (56726866791680).

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

40133072787520 is a wasteful number, since it uses less digits than its factorization.

40133072787520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213132 (or 2213122 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The spelling of 40133072787520 in words is "forty trillion, one hundred thirty-three billion, seventy-two million, seven hundred eighty-seven thousand, five hundred twenty".