40944268800 has 1200 divisors, whose sum is σ = 169085597472. Its totient is φ = 9732096000.

The previous prime is 40944268751. The next prime is 40944268811. The reversal of 40944268800 is 886244904.

It is a tau number, because it is divible by the number of its divisors (1200).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 405388750 + ... + 405388850.

Almost surely, 2^40944268800 is an apocalyptic number.

40944268800 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 40944268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84542798736).

40944268800 is an abundant number, since it is smaller than the sum of its proper divisors (128141328672).

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

40944268800 is a wasteful number, since it uses less digits than its factorization.

40944268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 40944268800 in words is "forty billion, nine hundred forty-four million, two hundred sixty-eight thousand, eight hundred".