1341434400 has 72 divisors (see below), whose sum is σ = 4366376784. Its totient is φ = 357715200.

The previous prime is 1341434389. The next prime is 1341434431. The reversal of 1341434400 is 44341431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 277066 + ... + 281865.

It is an arithmetic number, because the mean of its divisors is an integer number (60644122).

Almost surely, 2^1341434400 is an apocalyptic number.

1341434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1341434400 is an abundant number, since it is smaller than the sum of its proper divisors (3024942384).

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

1341434400 is a wasteful number, since it uses less digits than its factorization.

1341434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558954 (or 558941 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1341434400 is about 36625.5976060460. The cubic root of 1341434400 is about 1102.8670113623.

Adding to 1341434400 its reverse (44341431), we get a palindrome (1385775831).

The spelling of 1341434400 in words is "one billion, three hundred forty-one million, four hundred thirty-four thousand, four hundred".