40095419904 has 560 divisors, whose sum is σ = 130419732960. Its totient is φ = 12262440960.

The previous prime is 40095419893. The next prime is 40095419929. The reversal of 40095419904 is 40991459004.

40095419904 is a `hidden beast` number, since 400 + 9 + 54 + 199 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40095419904.

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 450510292 + ... + 450510380.

Almost surely, 2^40095419904 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 40095419904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65209866480).

40095419904 is an abundant number, since it is smaller than the sum of its proper divisors (90324313056).

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

40095419904 is an frugal number, since it uses more digits than its factorization.

40095419904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 40095419904 in words is "forty billion, ninety-five million, four hundred nineteen thousand, nine hundred four".