40404741840 has 640 divisors, whose sum is σ = 160543296000. Its totient is φ = 9271148544.

The previous prime is 40404741829. The next prime is 40404742003. The reversal of 40404741840 is 4814740404.

40404741840 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 474 + 184 + 0 = 666.

40404741840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 40404741795 and 40404741804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20231722 + ... + 20233718.

It is an arithmetic number, because the mean of its divisors is an integer number (250848900).

Almost surely, 2^40404741840 is an apocalyptic number.

40404741840 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 40404741840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80271648000).

40404741840 is an abundant number, since it is smaller than the sum of its proper divisors (120138554160).

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

40404741840 is a wasteful number, since it uses less digits than its factorization.

40404741840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 40404741840 in words is "forty billion, four hundred four million, seven hundred forty-one thousand, eight hundred forty".