40023244800 has 1440 divisors, whose sum is σ = 187228016640. Its totient is φ = 8139571200.

The previous prime is 40023244759. The next prime is 40023244837. The reversal of 40023244800 is 844232004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 851558377 + ... + 851558423.

It is an arithmetic number, because the mean of its divisors is an integer number (130019456).

Almost surely, 2^40023244800 is an apocalyptic number.

40023244800 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 40023244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93614008320).

40023244800 is an abundant number, since it is smaller than the sum of its proper divisors (147204771840).

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

40023244800 is a wasteful number, since it uses less digits than its factorization.

40023244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40023244800 its reverse (844232004), we get a palindrome (40867476804).

The spelling of 40023244800 in words is "forty billion, twenty-three million, two hundred forty-four thousand, eight hundred".