4047972192 has 384 divisors, whose sum is σ = 14043456000. Its totient is φ = 1120573440.

The previous prime is 4047972179. The next prime is 4047972209. The reversal of 4047972192 is 2912797404.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5236318 + ... + 5237090.

It is an arithmetic number, because the mean of its divisors is an integer number (36571500).

Almost surely, 2^4047972192 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 4047972192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021728000).

4047972192 is an abundant number, since it is smaller than the sum of its proper divisors (9995483808).

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

4047972192 is a wasteful number, since it uses less digits than its factorization.

4047972192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 4047972192 is about 63623.6763477245. The cubic root of 4047972192 is about 1593.7217763306.

The spelling of 4047972192 in words is "four billion, forty-seven million, nine hundred seventy-two thousand, one hundred ninety-two".