4195050048 has 336 divisors, whose sum is σ = 14492467840. Its totient is φ = 1165612032.

The previous prime is 4195050043. The next prime is 4195050053. The reversal of 4195050048 is 8400505914.

It is an interprime number because it is at equal distance from previous prime (4195050043) and next prime (4195050053).

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 4195049994 and 4195050021.

It is not an unprimeable number, because it can be changed into a prime (4195050043) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26719986 + ... + 26720142.

Almost surely, 2^4195050048 is an apocalyptic number.

4195050048 is a gapful number since it is divisible by the number (48) 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 4195050048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246233920).

4195050048 is an abundant number, since it is smaller than the sum of its proper divisors (10297417792).

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

4195050048 is a wasteful number, since it uses less digits than its factorization.

4195050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4195050048 is about 64769.2060164396. The cubic root of 4195050048 is about 1612.7945560332.

The spelling of 4195050048 in words is "four billion, one hundred ninety-five million, fifty thousand, forty-eight".