40664200416 has 192 divisors, whose sum is σ = 123181793280. Its totient is φ = 11505692160.

The previous prime is 40664200351. The next prime is 40664200459. The reversal of 40664200416 is 61400246604.

It is a super-2 number, since 2×40664200416² (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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37409025 + ... + 37410111.

It is an arithmetic number, because the mean of its divisors is an integer number (641571840).

Almost surely, 2^40664200416 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 40664200416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61590896640).

40664200416 is an abundant number, since it is smaller than the sum of its proper divisors (82517592864).

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

40664200416 is a wasteful number, since it uses less digits than its factorization.

40664200416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 40664200416 in words is "forty billion, six hundred sixty-four million, two hundred thousand, four hundred sixteen".