40557295296 has 672 divisors, whose sum is σ = 145938240000. Its totient is φ = 10997876736.

The previous prime is 40557295237. The next prime is 40557295313. The reversal of 40557295296 is 69259275504.

40557295296 is a `hidden beast` number, since 40 + 5 + 5 + 72 + 9 + 529 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 203805405 + ... + 203805603.

It is an arithmetic number, because the mean of its divisors is an integer number (217170000).

Almost surely, 2^40557295296 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 40557295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120000).

40557295296 is an abundant number, since it is smaller than the sum of its proper divisors (105380944704).

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

40557295296 is a wasteful number, since it uses less digits than its factorization.

40557295296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 40557295296 in words is "forty billion, five hundred fifty-seven million, two hundred ninety-five thousand, two hundred ninety-six".