4072190976 has 352 divisors, whose sum is σ = 14078119680. Its totient is φ = 1138655232.

The previous prime is 4072190911. The next prime is 4072190977. The reversal of 4072190976 is 6790912704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072190977) 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 31 ways as a sum of consecutive naturals, for example, 10257210 + ... + 10257606.

Almost surely, 2^4072190976 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 4072190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039059840).

4072190976 is an abundant number, since it is smaller than the sum of its proper divisors (10005928704).

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

4072190976 is a wasteful number, since it uses less digits than its factorization.

4072190976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 4072190976 is about 63813.7209070275. The cubic root of 4072190976 is about 1596.8938404268.

The spelling of 4072190976 in words is "four billion, seventy-two million, one hundred ninety thousand, nine hundred seventy-six".