40440176640000 has 2040 divisors, whose sum is σ = 160969196868480. Its totient is φ = 10107224064000.

The previous prime is 40440176639969. The next prime is 40440176640001. The reversal of 40440176640000 is 4667104404.

40440176640000 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 0 + 1 + 7 + 6 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2040).

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 (40440176640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 169205759881 + ... + 169205760119.

Almost surely, 2^{40440176640000} is an apocalyptic number.

40440176640000 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 40440176640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80484598434240).

40440176640000 is an abundant number, since it is smaller than the sum of its proper divisors (120529020228480).

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

40440176640000 is an frugal number, since it uses more digits than its factorization.

40440176640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40440176640000 in words is "forty trillion, four hundred forty billion, one hundred seventy-six million, six hundred forty thousand".