1427713279200 has 2304 divisors, whose sum is σ = 6111868815360. Its totient is φ = 318823464960.

The previous prime is 1427713279193. The next prime is 1427713279217. The reversal of 1427713279200 is 29723177241.

1427713279200 is a `hidden beast` number, since 1 + 427 + 7 + 13 + 2 + 7 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14718693552 + ... + 14718693648.

It is an arithmetic number, because the mean of its divisors is an integer number (2652720840).

Almost surely, 2^{1427713279200} is an apocalyptic number.

1427713279200 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 1427713279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055934407680).

1427713279200 is an abundant number, since it is smaller than the sum of its proper divisors (4684155536160).

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

1427713279200 is a wasteful number, since it uses less digits than its factorization.

1427713279200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 1427713279200 in words is "one trillion, four hundred twenty-seven billion, seven hundred thirteen million, two hundred seventy-nine thousand, two hundred".