1349627443200 has 1152 divisors, whose sum is σ = 5321331288000. Its totient is φ = 338252267520.

The previous prime is 1349627443163. The next prime is 1349627443207. The reversal of 1349627443200 is 23447269431.

1349627443200 is a `hidden beast` number, since 1 + 349 + 6 + 274 + 4 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×1349627443200³ (a number of 37 digits) contains 333 as substring.

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 (1349627443207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1903564446 + ... + 1903565154.

Almost surely, 2^{1349627443200} is an apocalyptic number.

1349627443200 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 1349627443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660665644000).

1349627443200 is an abundant number, since it is smaller than the sum of its proper divisors (3971703844800).

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

1349627443200 is an frugal number, since it uses more digits than its factorization.

1349627443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1349627443200 in words is "one trillion, three hundred forty-nine billion, six hundred twenty-seven million, four hundred forty-three thousand, two hundred".