1342130400 has 324 divisors, whose sum is σ = 5129390448. Its totient is φ = 330071040.

The previous prime is 1342130381. The next prime is 1342130401. The reversal of 1342130400 is 40312431.

1342130400 is a `hidden beast` number, since 134 + 2 + 130 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342130401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1216249 + ... + 1217351.

It is an arithmetic number, because the mean of its divisors is an integer number (15831452).

Almost surely, 2^1342130400 is an apocalyptic number.

1342130400 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 1342130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564695224).

1342130400 is an abundant number, since it is smaller than the sum of its proper divisors (3787260048).

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

1342130400 is a wasteful number, since it uses less digits than its factorization.

1342130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1342130400 is about 36635.0979253502. The cubic root of 1342130400 is about 1103.0577183456.

Adding to 1342130400 its reverse (40312431), we get a palindrome (1382442831).

The spelling of 1342130400 in words is "one billion, three hundred forty-two million, one hundred thirty thousand, four hundred".