1427112960 has 352 divisors, whose sum is σ = 5623387392. Its totient is φ = 300810240.

The previous prime is 1427112949. The next prime is 1427113003. The reversal of 1427112960 is 692117241.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1397250 + ... + 1398270.

Almost surely, 2^1427112960 is an apocalyptic number.

1427112960 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 1427112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2811693696).

1427112960 is an abundant number, since it is smaller than the sum of its proper divisors (4196274432).

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

1427112960 is a wasteful number, since it uses less digits than its factorization.

1427112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1427112960 is about 37777.1486483562. The cubic root of 1427112960 is about 1125.8644772730.

The spelling of 1427112960 in words is "one billion, four hundred twenty-seven million, one hundred twelve thousand, nine hundred sixty".