40068400609584 has 200 divisors, whose sum is σ = 116506900224000. Its totient is φ = 13349242387008.

The previous prime is 40068400609583. The next prime is 40068400609591. The reversal of 40068400609584 is 48590600486004.

40068400609584 is a `hidden beast` number, since 40 + 0 + 68 + 400 + 60 + 9 + 5 + 84 = 666.

It is a super-2 number, since 2×40068400609584² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40068400609584.

It is not an unprimeable number, because it can be changed into a prime (40068400609583) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 629509249 + ... + 629572895.

It is an arithmetic number, because the mean of its divisors is an integer number (582534501120).

Almost surely, 2^{40068400609584} 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 40068400609584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58253450112000).

40068400609584 is an abundant number, since it is smaller than the sum of its proper divisors (76438499614416).

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

40068400609584 is an frugal number, since it uses more digits than its factorization.

40068400609584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65681 (or 65651 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 40068400609584 in words is "forty trillion, sixty-eight billion, four hundred million, six hundred nine thousand, five hundred eighty-four".