40001199822720 has 768 divisors, whose sum is σ = 144151836192000. Its totient is φ = 10599693778944.

The previous prime is 40001199822643. The next prime is 40001199822769. The reversal of 40001199822720 is 2722899110004.

40001199822720 is a `hidden beast` number, since 400 + 0 + 1 + 19 + 9 + 8 + 227 + 2 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 19057264231 + ... + 19057266329.

It is an arithmetic number, because the mean of its divisors is an integer number (187697703375).

Almost surely, 2^{40001199822720} is an apocalyptic number.

40001199822720 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 40001199822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72075918096000).

40001199822720 is an abundant number, since it is smaller than the sum of its proper divisors (104150636369280).

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

40001199822720 is a wasteful number, since it uses less digits than its factorization.

40001199822720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 40001199822720 in words is "forty trillion, one billion, one hundred ninety-nine million, eight hundred twenty-two thousand, seven hundred twenty".