4195374359904 has 960 divisors, whose sum is σ = 16031351952000. Its totient is φ = 1068232790016.

The previous prime is 4195374359887. The next prime is 4195374359909. The reversal of 4195374359904 is 4099534735914.

It is a happy number.

4195374359904 is a `hidden beast` number, since 4 + 1 + 9 + 5 + 37 + 4 + 3 + 599 + 0 + 4 = 666.

4195374359904 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 (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4195374359909) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 335167854 + ... + 335180370.

It is an arithmetic number, because the mean of its divisors is an integer number (16699324950).

Almost surely, 2^{4195374359904} 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 4195374359904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015675976000).

4195374359904 is an abundant number, since it is smaller than the sum of its proper divisors (11835977592096).

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

4195374359904 is a wasteful number, since it uses less digits than its factorization.

4195374359904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12602 (or 12571 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 4195374359904 in words is "four trillion, one hundred ninety-five billion, three hundred seventy-four million, three hundred fifty-nine thousand, nine hundred four".