4079402880 has 384 divisors, whose sum is σ = 15287564160. Its totient is φ = 922521600.

The previous prime is 4079402879. The next prime is 4079402897. The reversal of 4079402880 is 882049704.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12324315 + ... + 12324645.

It is an arithmetic number, because the mean of its divisors is an integer number (39811365).

Almost surely, 2^4079402880 is an apocalyptic number.

4079402880 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 4079402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7643782080).

4079402880 is an abundant number, since it is smaller than the sum of its proper divisors (11208161280).

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

4079402880 is a wasteful number, since it uses less digits than its factorization.

4079402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 4079402880 is about 63870.2033815456. The cubic root of 4079402880 is about 1597.8359911523.

The spelling of 4079402880 in words is "four billion, seventy-nine million, four hundred two thousand, eight hundred eighty".