1341380400 has 60 divisors (see below), whose sum is σ = 4296892392. Its totient is φ = 357701120.

The previous prime is 1341380357. The next prime is 1341380437. The reversal of 1341380400 is 40831431.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 557709 + ... + 560108.

Almost surely, 2^1341380400 is an apocalyptic number.

1341380400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1341380400 is an abundant number, since it is smaller than the sum of its proper divisors (2955511992).

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

1341380400 is a wasteful number, since it uses less digits than its factorization.

1341380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117838 (or 1117827 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1341380400 is about 36624.8604092903. The cubic root of 1341380400 is about 1102.8522123736.

The spelling of 1341380400 in words is "one billion, three hundred forty-one million, three hundred eighty thousand, four hundred".