40454443440 has 160 divisors (see below), whose sum is σ = 139491072000. Its totient is φ = 10776395520.

The previous prime is 40454443423. The next prime is 40454443441. The reversal of 40454443440 is 4434445404.

40454443440 is a `hidden beast` number, since 40 + 4 + 544 + 4 + 34 + 40 = 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 = 40454443395 and 40454443404.

It is not an unprimeable number, because it can be changed into a prime (40454443441) 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 31 ways as a sum of consecutive naturals, for example, 2131111 + ... + 2150009.

It is an arithmetic number, because the mean of its divisors is an integer number (871819200).

Almost surely, 2^40454443440 is an apocalyptic number.

40454443440 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 40454443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69745536000).

40454443440 is an abundant number, since it is smaller than the sum of its proper divisors (99036628560).

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

40454443440 is a wasteful number, since it uses less digits than its factorization.

40454443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19912 (or 19900 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 40454443440 its reverse (4434445404), we get a palindrome (44888888844).

The spelling of 40454443440 in words is "forty billion, four hundred fifty-four million, four hundred forty-three thousand, four hundred forty".