1300042400 has 144 divisors (see below), whose sum is σ = 3262150584. Its totient is φ = 505774080.

The previous prime is 1300042369. The next prime is 1300042427. The reversal of 1300042400 is 42400031.

It can be written as a sum of positive squares in 12 ways, for example, as 99281296 + 1200761104 = 9964^2 + 34652^2 .

It is a super-2 number, since 2×1300042400² = 3380220483595520000, which contains 22 as substring.

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, 6599102 + ... + 6599298.

Almost surely, 2^1300042400 is an apocalyptic number.

1300042400 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 1300042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631075292).

1300042400 is an abundant number, since it is smaller than the sum of its proper divisors (1962108184).

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

1300042400 is a wasteful number, since it uses less digits than its factorization.

1300042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1300042400 is about 36056.1007320537. The cubic root of 1300042400 is about 1091.4047483317.

Adding to 1300042400 its reverse (42400031), we get a palindrome (1342442431).

The spelling of 1300042400 in words is "one billion, three hundred million, forty-two thousand, four hundred".