40057294000 has 320 divisors, whose sum is σ = 103977095040. Its totient is φ = 14900121600.

The previous prime is 40057293977. The next prime is 40057294007. The reversal of 40057294000 is 49275004.

It is not an unprimeable number, because it can be changed into a prime (40057294007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 255141922 + ... + 255142078.

It is an arithmetic number, because the mean of its divisors is an integer number (324928422).

Almost surely, 2^40057294000 is an apocalyptic number.

40057294000 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 40057294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51988547520).

40057294000 is an abundant number, since it is smaller than the sum of its proper divisors (63919801040).

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

40057294000 is a wasteful number, since it uses less digits than its factorization.

40057294000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 40057294000 in words is "forty billion, fifty-seven million, two hundred ninety-four thousand".