4192491312 has 300 divisors, whose sum is σ = 13299695640. Its totient is φ = 1270536192.

The previous prime is 4192491287. The next prime is 4192491319. The reversal of 4192491312 is 2131942914.

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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4192491319) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 30161739 + ... + 30161877.

Almost surely, 2^4192491312 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 4192491312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649847820).

4192491312 is an abundant number, since it is smaller than the sum of its proper divisors (9107204328).

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

4192491312 is a wasteful number, since it uses less digits than its factorization.

4192491312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 198 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 4192491312 is about 64749.4502833808. The cubic root of 4192491312 is about 1612.4665857868.

The spelling of 4192491312 in words is "four billion, one hundred ninety-two million, four hundred ninety-one thousand, three hundred twelve".