1342104312400 has 120 divisors (see below), whose sum is σ = 3255362706200. Its totient is φ = 531691776000.

The previous prime is 1342104312389. The next prime is 1342104312431. The reversal of 1342104312400 is 42134012431.

It can be written as a sum of positive squares in 12 ways, for example, as 130193958976 + 1211910353424 = 360824^2 + 1100868^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 135547450 + ... + 135557350.

Almost surely, 2^{1342104312400} is an apocalyptic number.

1342104312400 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 1342104312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627681353100).

1342104312400 is an abundant number, since it is smaller than the sum of its proper divisors (1913258393800).

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

1342104312400 is a wasteful number, since it uses less digits than its factorization.

1342104312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13137 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1342104312400 its reverse (42134012431), we get a palindrome (1384238324831).

The spelling of 1342104312400 in words is "one trillion, three hundred forty-two billion, one hundred four million, three hundred twelve thousand, four hundred".