4195447640832 has 1152 divisors, whose sum is σ = 14941908172800. Its totient is φ = 1016030822400.

The previous prime is 4195447640809. The next prime is 4195447640869. The reversal of 4195447640832 is 2380467445914.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 3175962732 + ... + 3175964052.

It is an arithmetic number, because the mean of its divisors is an integer number (12970406400).

It is a 1-persistent number, because it is pandigital, but 2⋅4195447640832 = 8390895281664 is not.

Almost surely, 2^{4195447640832} is an apocalyptic number.

4195447640832 is a gapful number since it is divisible by the number (42) 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 4195447640832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7470954086400).

4195447640832 is an abundant number, since it is smaller than the sum of its proper divisors (10746460531968).

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

4195447640832 is a wasteful number, since it uses less digits than its factorization.

4195447640832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 4195447640832 in words is "four trillion, one hundred ninety-five billion, four hundred forty-seven million, six hundred forty thousand, eight hundred thirty-two".