1431114960 has 320 divisors, whose sum is σ = 5162526720. Its totient is φ = 324311040.

The previous prime is 1431114959. The next prime is 1431115003. The reversal of 1431114960 is 694111341.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5166342 + ... + 5166618.

It is an arithmetic number, because the mean of its divisors is an integer number (16132896).

Almost surely, 2^1431114960 is an apocalyptic number.

1431114960 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 1431114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581263360).

1431114960 is an abundant number, since it is smaller than the sum of its proper divisors (3731411760).

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

1431114960 is a wasteful number, since it uses less digits than its factorization.

1431114960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1431114960 is about 37830.0800950778. The cubic root of 1431114960 is about 1126.9159017413.

The spelling of 1431114960 in words is "one billion, four hundred thirty-one million, one hundred fourteen thousand, nine hundred sixty".