4192977960 has 80 divisors (see below), whose sum is σ = 14093075700. Its totient is φ = 1118126592.

The previous prime is 4192977949. The next prime is 4192977961. The reversal of 4192977960 is 697792914.

It can be written as a sum of positive squares in 2 ways, for example, as 3863119716 + 329858244 = 62154^2 + 18162^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4192977897 and 4192977906.

It is not an unprimeable number, because it can be changed into a prime (4192977961) 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 19 ways as a sum of consecutive naturals, for example, 643825 + ... + 650304.

Almost surely, 2^4192977960 is an apocalyptic number.

4192977960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4192977960 is an abundant number, since it is smaller than the sum of its proper divisors (9900097740).

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

4192977960 is a wasteful number, since it uses less digits than its factorization.

4192977960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294152 (or 1294139 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 4192977960 is about 64753.2081058537. The cubic root of 4192977960 is about 1612.5289729786.

The spelling of 4192977960 in words is "four billion, one hundred ninety-two million, nine hundred seventy-seven thousand, nine hundred sixty".