1349440019200 has 864 divisors, whose sum is σ = 4349353623552. Its totient is φ = 402997248000.

The previous prime is 1349440019189. The next prime is 1349440019201. The reversal of 1349440019200 is 29100449431.

It is a self number, because there is not a number n which added to its sum of digits gives 1349440019200.

It is not an unprimeable number, because it can be changed into a prime (1349440019201) 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, 740229489 + ... + 740231311.

Almost surely, 2^{1349440019200} is an apocalyptic number.

1349440019200 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 1349440019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174676811776).

1349440019200 is an abundant number, since it is smaller than the sum of its proper divisors (2999913604352).

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

1349440019200 is a wasteful number, since it uses less digits than its factorization.

1349440019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 1349440019200 in words is "one trillion, three hundred forty-nine billion, four hundred forty million, nineteen thousand, two hundred".