4279140800 has 378 divisors, whose sum is σ = 12478935672. Its totient is φ = 1440384000.

The previous prime is 4279140799. The next prime is 4279140809. The reversal of 4279140800 is 80419724.

It is a super-2 number, since 2×4279140800² = 36622091972449280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4279140809) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 138036785 + ... + 138036815.

Almost surely, 2^4279140800 is an apocalyptic number.

4279140800 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 4279140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239467836).

4279140800 is an abundant number, since it is smaller than the sum of its proper divisors (8199794872).

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

4279140800 is a wasteful number, since it uses less digits than its factorization.

4279140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 4279140800 is about 65415.1419779855. The cubic root of 4279140800 is about 1623.4996233996.

The spelling of 4279140800 in words is "four billion, two hundred seventy-nine million, one hundred forty thousand, eight hundred".