4314854880 has 384 divisors, whose sum is σ = 17449205760. Its totient is φ = 975421440.

The previous prime is 4314854861. The next prime is 4314854893. The reversal of 4314854880 is 884584134.

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 63 ways as a sum of consecutive naturals, for example, 2932545 + ... + 2934015.

It is an arithmetic number, because the mean of its divisors is an integer number (45440640).

Almost surely, 2^4314854880 is an apocalyptic number.

4314854880 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 4314854880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724602880).

4314854880 is an abundant number, since it is smaller than the sum of its proper divisors (13134350880).

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

4314854880 is a wasteful number, since it uses less digits than its factorization.

4314854880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 4314854880 is about 65687.5549857049. The cubic root of 4314854880 is about 1628.0037388207.

The spelling of 4314854880 in words is "four billion, three hundred fourteen million, eight hundred fifty-four thousand, eight hundred eighty".