40244344000 has 224 divisors, whose sum is σ = 117835436160. Its totient is φ = 13321728000.

The previous prime is 40244343991. The next prime is 40244344009. The reversal of 40244344000 is 44344204.

It is an interprime number because it is at equal distance from previous prime (40244343991) and next prime (40244344009).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (40244344009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1611610 + ... + 1636390.

Almost surely, 2^40244344000 is an apocalyptic number.

40244344000 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 40244344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58917718080).

40244344000 is an abundant number, since it is smaller than the sum of its proper divisors (77591092160).

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

40244344000 is a wasteful number, since it uses less digits than its factorization.

40244344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24844 (or 24824 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 40244344000 its reverse (44344204), we get a palindrome (40288688204).

The spelling of 40244344000 in words is "forty billion, two hundred forty-four million, three hundred forty-four thousand".