40199229504 has 448 divisors, whose sum is σ = 138564518400. Its totient is φ = 11331809280.

The previous prime is 40199229491. The next prime is 40199229569. The reversal of 40199229504 is 40592299104.

40199229504 is a `hidden beast` number, since 40 + 19 + 92 + 2 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 40199229504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87199834 + ... + 87200294.

It is an arithmetic number, because the mean of its divisors is an integer number (309295800).

Almost surely, 2^40199229504 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 40199229504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69282259200).

40199229504 is an abundant number, since it is smaller than the sum of its proper divisors (98365288896).

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

40199229504 is an frugal number, since it uses more digits than its factorization.

40199229504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 562 counting only the distinct ones).

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

The spelling of 40199229504 in words is "forty billion, one hundred ninety-nine million, two hundred twenty-nine thousand, five hundred four".