40944153600000 has 2016 divisors, whose sum is σ = 172501949168640. Its totient is φ = 9162915840000.

The previous prime is 40944153599941. The next prime is 40944153600001. The reversal of 40944153600000 is 635144904.

40944153600000 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 41 + 5 + 3 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40944153600001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85478399761 + ... + 85478400239.

It is an arithmetic number, because the mean of its divisors is an integer number (85566443040).

Almost surely, 2^{40944153600000} is an apocalyptic number.

40944153600000 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 40944153600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86250974584320).

40944153600000 is an abundant number, since it is smaller than the sum of its proper divisors (131557795568640).

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

40944153600000 is an frugal number, since it uses more digits than its factorization.

40944153600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 40944153600000 its reverse (635144904), we get a palindrome (40944788744904).

The spelling of 40944153600000 in words is "forty trillion, nine hundred forty-four billion, one hundred fifty-three million, six hundred thousand".