1341201400 has 384 divisors, whose sum is σ = 4242585600. Its totient is φ = 381542400.

The previous prime is 1341201373. The next prime is 1341201401. The reversal of 1341201400 is 41021431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341201401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12304546 + ... + 12304654.

It is an arithmetic number, because the mean of its divisors is an integer number (11048400).

Almost surely, 2^1341201400 is an apocalyptic number.

1341201400 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 1341201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121292800).

1341201400 is an abundant number, since it is smaller than the sum of its proper divisors (2901384200).

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

1341201400 is a wasteful number, since it uses less digits than its factorization.

1341201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1341201400 is about 36622.4166324398. The cubic root of 1341201400 is about 1102.8031536259.

Adding to 1341201400 its reverse (41021431), we get a palindrome (1382222831).

The spelling of 1341201400 in words is "one billion, three hundred forty-one million, two hundred one thousand, four hundred".