1341194400 has 864 divisors, whose sum is σ = 6142106880. Its totient is φ = 267632640.

The previous prime is 1341194399. The next prime is 1341194429. The reversal of 1341194400 is 44911431.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15069556 + ... + 15069644.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^1341194400 is an apocalyptic number.

1341194400 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 1341194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

1341194400 is an abundant number, since it is smaller than the sum of its proper divisors (4800912480).

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

1341194400 is a wasteful number, since it uses less digits than its factorization.

1341194400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1341194400 is about 36622.3210624340. The cubic root of 1341194400 is about 1102.8012350387.

The spelling of 1341194400 in words is "one billion, three hundred forty-one million, one hundred ninety-four thousand, four hundred".