40133388384 has 288 divisors, whose sum is σ = 125704121760. Its totient is φ = 12453543936.

The previous prime is 40133388349. The next prime is 40133388391. The reversal of 40133388384 is 48388333104.

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

It is a super-2 number, since 2×40133388384² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 24219684 + ... + 24221340.

It is an arithmetic number, because the mean of its divisors is an integer number (436472645).

Almost surely, 2^40133388384 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 40133388384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62852060880).

40133388384 is an abundant number, since it is smaller than the sum of its proper divisors (85570733376).

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

40133388384 is a wasteful number, since it uses less digits than its factorization.

40133388384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 40133388384 in words is "forty billion, one hundred thirty-three million, three hundred eighty-eight thousand, three hundred eighty-four".