40334457384 has 160 divisors (see below), whose sum is σ = 121776205320. Its totient is φ = 12399174144.

The previous prime is 40334457377. The next prime is 40334457433. The reversal of 40334457384 is 48375443304.

40334457384 is a `hidden beast` number, since 4 + 0 + 33 + 44 + 573 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31250461284 + 9083996100 = 176778^2 + 95310^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16282354 + ... + 16284830.

Almost surely, 2^40334457384 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 40334457384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60888102660).

40334457384 is an abundant number, since it is smaller than the sum of its proper divisors (81441747936).

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

40334457384 is a wasteful number, since it uses less digits than its factorization.

40334457384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 40334457384 in words is "forty billion, three hundred thirty-four million, four hundred fifty-seven thousand, three hundred eighty-four".