40320432114444 has 120 divisors (see below), whose sum is σ = 105944982528000. Its totient is φ = 13371377136480.

The previous prime is 40320432114377. The next prime is 40320432114451. The reversal of 40320432114444 is 44441123402304.

40320432114444 is a `hidden beast` number, since 4 + 0 + 3 + 204 + 3 + 2 + 1 + 1 + 4 + 444 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40320432114399 and 40320432114408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 940747887 + ... + 940790745.

It is an arithmetic number, because the mean of its divisors is an integer number (882874854400).

Almost surely, 2^{40320432114444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40320432114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52972491264000).

40320432114444 is an abundant number, since it is smaller than the sum of its proper divisors (65624550413556).

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

40320432114444 is a wasteful number, since it uses less digits than its factorization.

40320432114444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57665 (or 57654 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 40320432114444 its reverse (44441123402304), we get a palindrome (84761555516748).

The spelling of 40320432114444 in words is "forty trillion, three hundred twenty billion, four hundred thirty-two million, one hundred fourteen thousand, four hundred forty-four".