1357284427200 has 2016 divisors, whose sum is σ = 5726879884800. Its totient is φ = 311865016320.

The previous prime is 1357284427193. The next prime is 1357284427267. The reversal of 1357284427200 is 27244827531.

1357284427200 is a `hidden beast` number, since 1 + 3 + 572 + 8 + 4 + 4 + 2 + 72 + 0 + 0 = 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9907185532 + ... + 9907185668.

Almost surely, 2^{1357284427200} is an apocalyptic number.

1357284427200 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 1357284427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863439942400).

1357284427200 is an abundant number, since it is smaller than the sum of its proper divisors (4369595457600).

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

1357284427200 is a wasteful number, since it uses less digits than its factorization.

1357284427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 1357284427200 in words is "one trillion, three hundred fifty-seven billion, two hundred eighty-four million, four hundred twenty-seven thousand, two hundred".