1427904691200 has 1584 divisors, whose sum is σ = 6036984233280. Its totient is φ = 319071191040.

The previous prime is 1427904691159. The next prime is 1427904691201. The reversal of 1427904691200 is 21964097241.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427904691201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1476633117 + ... + 1476634083.

It is an arithmetic number, because the mean of its divisors is an integer number (3811227420).

Almost surely, 2^{1427904691200} is an apocalyptic number.

1427904691200 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 1427904691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018492116640).

1427904691200 is an abundant number, since it is smaller than the sum of its proper divisors (4609079542080).

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

1427904691200 is a wasteful number, since it uses less digits than its factorization.

1427904691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1427904691200 in words is "one trillion, four hundred twenty-seven billion, nine hundred four million, six hundred ninety-one thousand, two hundred".