1014431120 has 40 divisors (see below), whose sum is σ = 2362047480. Its totient is φ = 405171200.

The previous prime is 1014431113. The next prime is 1014431129. The reversal of 1014431120 is 211344101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 489471376 + 524959744 = 22124^2 + 22912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1014431129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47036 + ... + 65124.

It is an arithmetic number, because the mean of its divisors is an integer number (59051187).

Almost surely, 2^1014431120 is an apocalyptic number.

1014431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014431120 is an abundant number, since it is smaller than the sum of its proper divisors (1347616360).

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

1014431120 is a wasteful number, since it uses less digits than its factorization.

1014431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18803 (or 18797 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1014431120 is about 31850.1353215336. The cubic root of 1014431120 is about 1004.7874173932.

Adding to 1014431120 its reverse (211344101), we get a palindrome (1225775221).

The spelling of 1014431120 in words is "one billion, fourteen million, four hundred thirty-one thousand, one hundred twenty".