40024298304 has 336 divisors, whose sum is σ = 125425809600. Its totient is φ = 12158926848.

The previous prime is 40024298287. The next prime is 40024298317. The reversal of 40024298304 is 40389242004.

40024298304 is a `hidden beast` number, since 40 + 0 + 24 + 298 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 39277507 + ... + 39278525.

It is an arithmetic number, because the mean of its divisors is an integer number (373291100).

Almost surely, 2^40024298304 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 40024298304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62712904800).

40024298304 is an abundant number, since it is smaller than the sum of its proper divisors (85401511296).

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

40024298304 is a wasteful number, since it uses less digits than its factorization.

40024298304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40024298304 in words is "forty billion, twenty-four million, two hundred ninety-eight thousand, three hundred four".