1287014400 has 864 divisors, whose sum is σ = 5788692000. Its totient is φ = 278691840.

The previous prime is 1287014387. The next prime is 1287014429. The reversal of 1287014400 is 44107821.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67737591 + ... + 67737609.

It is an arithmetic number, because the mean of its divisors is an integer number (6699875).

Almost surely, 2^1287014400 is an apocalyptic number.

1287014400 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 1287014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894346000).

1287014400 is an abundant number, since it is smaller than the sum of its proper divisors (4501677600).

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

1287014400 is a wasteful number, since it uses less digits than its factorization.

1287014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1287014400 is about 35874.9829268252. The cubic root of 1287014400 is about 1087.7467692084.

The spelling of 1287014400 in words is "one billion, two hundred eighty-seven million, fourteen thousand, four hundred".