40044533760000 has 5400 divisors, whose sum is σ = 198226047859840. Its totient is φ = 7882997760000.

The previous prime is 40044533759983. The next prime is 40044533760001. The reversal of 40044533760000 is 6733544004.

It is a happy number.

40044533760000 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 45 + 3 + 3 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5400).

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 (40044533760001) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2107607039991 + ... + 2107607040009.

Almost surely, 2^{40044533760000} is an apocalyptic number.

40044533760000 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 40044533760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99113023929920).

40044533760000 is an abundant number, since it is smaller than the sum of its proper divisors (158181514099840).

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

40044533760000 is an frugal number, since it uses more digits than its factorization.

40044533760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 40044533760000 in words is "forty trillion, forty-four billion, five hundred thirty-three million, seven hundred sixty thousand".