114401280 has 336 divisors, whose sum is σ = 448238880. Its totient is φ = 24772608.

The previous prime is 114401263. The next prime is 114401323. The reversal of 114401280 is 82104411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6021111 + ... + 6021129.

Almost surely, 2^114401280 is an apocalyptic number.

114401280 is a gapful number since it is divisible by the number (10) 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 114401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224119440).

114401280 is an abundant number, since it is smaller than the sum of its proper divisors (333837600).

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

114401280 is an equidigital number, since it uses as much as digits as its factorization.

114401280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 114401280 is about 10695.8534021367. The cubic root of 114401280 is about 485.4490191024.

Adding to 114401280 its reverse (82104411), we get a palindrome (196505691).

It can be divided in two parts, 11440 and 1280, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 114401280 in words is "one hundred fourteen million, four hundred one thousand, two hundred eighty".