40407301786800 has 240 divisors, whose sum is σ = 139537559337120. Its totient is φ = 9936228433920.

The previous prime is 40407301786759. The next prime is 40407301786801. The reversal of 40407301786800 is 868710370404.

It is a tau number, because it is divible by the number of its divisors (240).

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 40407301786800.

It is not an unprimeable number, because it can be changed into a prime (40407301786801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13915606 + ... + 16566794.

It is an arithmetic number, because the mean of its divisors is an integer number (581406497238).

Almost surely, 2^{40407301786800} is an apocalyptic number.

40407301786800 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 40407301786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768779668560).

40407301786800 is an abundant number, since it is smaller than the sum of its proper divisors (99130257550320).

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

40407301786800 is a wasteful number, since it uses less digits than its factorization.

40407301786800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652200 (or 2652189 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 40407301786800 in words is "forty trillion, four hundred seven billion, three hundred one million, seven hundred eighty-six thousand, eight hundred".