4199273280 has 392 divisors, whose sum is σ = 15351386112. Its totient is φ = 1093118976.

The previous prime is 4199273279. The next prime is 4199273291. The reversal of 4199273280 is 823729914.

4199273280 is a `hidden beast` number, since 419 + 92 + 73 + 2 + 80 = 666.

4199273280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10963969 + ... + 10964351.

Almost surely, 2^4199273280 is an apocalyptic number.

4199273280 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 4199273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675693056).

4199273280 is an abundant number, since it is smaller than the sum of its proper divisors (11152112832).

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

4199273280 is an equidigital number, since it uses as much as digits as its factorization.

4199273280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4199273280 is about 64801.7999750007. The cubic root of 4199273280 is about 1613.3355842390.

The spelling of 4199273280 in words is "four billion, one hundred ninety-nine million, two hundred seventy-three thousand, two hundred eighty".