40412625344 has 168 divisors, whose sum is σ = 100726573248. Its totient is φ = 15945431040.

The previous prime is 40412625317. The next prime is 40412625353. The reversal of 40412625344 is 44352621404.

It is a super-2 number, since 2×40412625344² (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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18874514 + ... + 18876654.

It is an arithmetic number, because the mean of its divisors is an integer number (599562936).

Almost surely, 2^40412625344 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 40412625344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50363286624).

40412625344 is an abundant number, since it is smaller than the sum of its proper divisors (60313947904).

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

40412625344 is a wasteful number, since it uses less digits than its factorization.

40412625344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 40412625344 in words is "forty billion, four hundred twelve million, six hundred twenty-five thousand, three hundred forty-four".