40024806620800 has 96 divisors (see below), whose sum is σ = 98909228109600. Its totient is φ = 16004182809600.

The previous prime is 40024806620797. The next prime is 40024806620807. The reversal of 40024806620800 is 802660842004.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (40024806620807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6690471 + ... + 11171929.

It is an arithmetic number, because the mean of its divisors is an integer number (1030304459475).

Almost surely, 2^{40024806620800} is an apocalyptic number.

40024806620800 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 40024806620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49454614054800).

40024806620800 is an abundant number, since it is smaller than the sum of its proper divisors (58884421488800).

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

40024806620800 is a wasteful number, since it uses less digits than its factorization.

40024806620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484274 (or 4484257 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 40024806620800 in words is "forty trillion, twenty-four billion, eight hundred six million, six hundred twenty thousand, eight hundred".