1431140160 has 112 divisors (see below), whose sum is σ = 4561466112. Its totient is φ = 380160000.

The previous prime is 1431140153. The next prime is 1431140197. The reversal of 1431140160 is 610411341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257410 + ... + 262910.

It is an arithmetic number, because the mean of its divisors is an integer number (40727376).

Almost surely, 2^1431140160 is an apocalyptic number.

1431140160 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 1431140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280733056).

1431140160 is an abundant number, since it is smaller than the sum of its proper divisors (3130325952).

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

1431140160 is a wasteful number, since it uses less digits than its factorization.

1431140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1431140160 is about 37830.4131618992. The cubic root of 1431140160 is about 1126.9225161911.

The spelling of 1431140160 in words is "one billion, four hundred thirty-one million, one hundred forty thousand, one hundred sixty".