1341242400 has 144 divisors (see below), whose sum is σ = 4395843648. Its totient is φ = 355200000.

The previous prime is 1341242393. The next prime is 1341242411. The reversal of 1341242400 is 42421431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360550 + ... + 364250.

It is an arithmetic number, because the mean of its divisors is an integer number (30526692).

Almost surely, 2^1341242400 is an apocalyptic number.

1341242400 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 1341242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197921824).

1341242400 is an abundant number, since it is smaller than the sum of its proper divisors (3054601248).

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

1341242400 is a wasteful number, since it uses less digits than its factorization.

1341242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1341242400 is about 36622.9763946078. The cubic root of 1341242400 is about 1102.8143909311.

Adding to 1341242400 its reverse (42421431), we get a palindrome (1383663831).

The spelling of 1341242400 in words is "one billion, three hundred forty-one million, two hundred forty-two thousand, four hundred".