4079249160 has 128 divisors (see below), whose sum is σ = 13998700800. Its totient is φ = 931553280.

The previous prime is 4079249143. The next prime is 4079249171. The reversal of 4079249160 is 619429704.

It is a Cunningham number, because it is equal to 63869²-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1787220 + ... + 1789500.

It is an arithmetic number, because the mean of its divisors is an integer number (109364850).

Almost surely, 2^4079249160 is an apocalyptic number.

4079249160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4079249160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999350400).

4079249160 is an abundant number, since it is smaller than the sum of its proper divisors (9919451640).

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

4079249160 is a wasteful number, since it uses less digits than its factorization.

4079249160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 4079249160 is about 63868.9999921715. Note that the first 5 decimals coincide. The cubic root of 4079249160 is about 1597.8159210226.

The spelling of 4079249160 in words is "four billion, seventy-nine million, two hundred forty-nine thousand, one hundred sixty".