4201760832 has 112 divisors (see below), whose sum is σ = 11504566272. Its totient is φ = 1352010240.

The previous prime is 4201760803. The next prime is 4201760839. The reversal of 4201760832 is 2380671024.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4201760793 and 4201760802.

It is not an unprimeable number, because it can be changed into a prime (4201760839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3612283 + ... + 3613445.

Almost surely, 2^4201760832 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 4201760832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752283136).

4201760832 is an abundant number, since it is smaller than the sum of its proper divisors (7302805440).

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

4201760832 is a wasteful number, since it uses less digits than its factorization.

4201760832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4201760832 is about 64820.9906743178. The cubic root of 4201760832 is about 1613.6540888705.

The spelling of 4201760832 in words is "four billion, two hundred one million, seven hundred sixty thousand, eight hundred thirty-two".