40404418560 has 768 divisors, whose sum is σ = 158995249920. Its totient is φ = 9405726720.

The previous prime is 40404418553. The next prime is 40404418583. The reversal of 40404418560 is 6581440404.

It is a happy number.

40404418560 is a `hidden beast` number, since 4 + 0 + 40 + 44 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762347494 + ... + 762347546.

It is an arithmetic number, because the mean of its divisors is an integer number (207025065).

Almost surely, 2^40404418560 is an apocalyptic number.

40404418560 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 40404418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79497624960).

40404418560 is an abundant number, since it is smaller than the sum of its proper divisors (118590831360).

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

40404418560 is a wasteful number, since it uses less digits than its factorization.

40404418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 40404418560 its reverse (6581440404), we get a palindrome (46985858964).

The spelling of 40404418560 in words is "forty billion, four hundred four million, four hundred eighteen thousand, five hundred sixty".