40404880440 has 192 divisors, whose sum is σ = 135694391040. Its totient is φ = 10416107520.

The previous prime is 40404880391. The next prime is 40404880463. The reversal of 40404880440 is 4408840404.

It is a happy number.

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 = 40404880395 and 40404880404.

It is a congruent number.

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, 20901714 + ... + 20903646.

It is an arithmetic number, because the mean of its divisors is an integer number (706741620).

Almost surely, 2^40404880440 is an apocalyptic number.

40404880440 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 40404880440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67847195520).

40404880440 is an abundant number, since it is smaller than the sum of its proper divisors (95289510600).

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

40404880440 is a wasteful number, since it uses less digits than its factorization.

40404880440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3847 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 40404880440 in words is "forty billion, four hundred four million, eight hundred eighty thousand, four hundred forty".