1427014400 has 216 divisors, whose sum is σ = 4119673824. Its totient is φ = 479232000.

The previous prime is 1427014387. The next prime is 1427014417. The reversal of 1427014400 is 44107241.

It is a happy number.

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, 2374100 + ... + 2374700.

It is an arithmetic number, because the mean of its divisors is an integer number (19072564).

Almost surely, 2^1427014400 is an apocalyptic number.

1427014400 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 1427014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059836912).

1427014400 is an abundant number, since it is smaller than the sum of its proper divisors (2692659424).

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

1427014400 is an equidigital number, since it uses as much as digits as its factorization.

1427014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 1427014400 is about 37775.8441335200. The cubic root of 1427014400 is about 1125.8385583348.

The spelling of 1427014400 in words is "one billion, four hundred twenty-seven million, fourteen thousand, four hundred".