1349369107200 has 432 divisors, whose sum is σ = 4987040808960. Its totient is φ = 356992634880.

The previous prime is 1349369107187. The next prime is 1349369107201. The reversal of 1349369107200 is 27019639431.

1349369107200 is a `hidden beast` number, since 1 + 3 + 493 + 6 + 91 + 0 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×1349369107200³ (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 not an unprimeable number, because it can be changed into a prime (1349369107201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21914857 + ... + 21976343.

Almost surely, 2^{1349369107200} is an apocalyptic number.

1349369107200 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 1349369107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493520404480).

1349369107200 is an abundant number, since it is smaller than the sum of its proper divisors (3637671701760).

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

1349369107200 is a wasteful number, since it uses less digits than its factorization.

1349369107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61649 (or 61624 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 1349369107200 in words is "one trillion, three hundred forty-nine billion, three hundred sixty-nine million, one hundred seven thousand, two hundred".