40585868400 has 720 divisors, whose sum is σ = 165858328832. Its totient is φ = 8302694400.

The previous prime is 40585868399. The next prime is 40585868417. The reversal of 40585868400 is 486858504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40585868400.

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 143 ways as a sum of consecutive naturals, for example, 74196927 + ... + 74197473.

Almost surely, 2^40585868400 is an apocalyptic number.

40585868400 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 40585868400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82929164416).

40585868400 is an abundant number, since it is smaller than the sum of its proper divisors (125272460432).

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

40585868400 is a wasteful number, since it uses less digits than its factorization.

40585868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 40585868400 in words is "forty billion, five hundred eighty-five million, eight hundred sixty-eight thousand, four hundred".