4079861760 has 240 divisors, whose sum is σ = 14070411936. Its totient is φ = 1003487232.

The previous prime is 4079861759. The next prime is 4079861777. The reversal of 4079861760 is 671689704.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194242 + ... + 3195518.

Almost surely, 2^4079861760 is an apocalyptic number.

4079861760 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 4079861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7035205968).

4079861760 is an abundant number, since it is smaller than the sum of its proper divisors (9990550176).

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

4079861760 is a wasteful number, since it uses less digits than its factorization.

4079861760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 4079861760 is about 63873.7955659439. The cubic root of 4079861760 is about 1597.8959008589.

The spelling of 4079861760 in words is "four billion, seventy-nine million, eight hundred sixty-one thousand, seven hundred sixty".