40095546220800 has 2592 divisors, whose sum is σ = 183929065286400. Its totient is φ = 8343237427200.

The previous prime is 40095546220799. The next prime is 40095546220907. The reversal of 40095546220800 is 802264559004.

40095546220800 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 5 + 546 + 2 + 20 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19761234186 + ... + 19761236214.

Almost surely, 2^{40095546220800} is an apocalyptic number.

40095546220800 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 40095546220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91964532643200).

40095546220800 is an abundant number, since it is smaller than the sum of its proper divisors (143833519065600).

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

40095546220800 is a wasteful number, since it uses less digits than its factorization.

40095546220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40095546220800 in words is "forty trillion, ninety-five billion, five hundred forty-six million, two hundred twenty thousand, eight hundred".