40005856000 has 288 divisors, whose sum is σ = 110027211840. Its totient is φ = 14372864000.

The previous prime is 40005855979. The next prime is 40005856001. The reversal of 40005856000 is 65850004.

It is a self number, because there is not a number n which added to its sum of digits gives 40005856000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40005856001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31327362 + ... + 31328638.

It is an arithmetic number, because the mean of its divisors is an integer number (382038930).

Almost surely, 2^40005856000 is an apocalyptic number.

40005856000 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 40005856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55013605920).

40005856000 is an abundant number, since it is smaller than the sum of its proper divisors (70021355840).

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

40005856000 is a wasteful number, since it uses less digits than its factorization.

40005856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 40005856000 in words is "forty billion, five million, eight hundred fifty-six thousand".