1342051200 has 576 divisors, whose sum is σ = 5731441200. Its totient is φ = 305786880.

The previous prime is 1342051177. The next prime is 1342051201. The reversal of 1342051200 is 21502431.

1342051200 is a `hidden beast` number, since 134 + 20 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1342051200² = 3602202846842880000, which contains 22 as substring.

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 (1342051201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4233442 + ... + 4233758.

Almost surely, 2^1342051200 is an apocalyptic number.

1342051200 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 1342051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865720600).

1342051200 is an abundant number, since it is smaller than the sum of its proper divisors (4389390000).

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

1342051200 is a wasteful number, since it uses less digits than its factorization.

1342051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1342051200 is about 36634.0169787590. The cubic root of 1342051200 is about 1103.0360205310.

Adding to 1342051200 its reverse (21502431), we get a palindrome (1363553631).

It can be divided in two parts, 13420 and 51200, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 1342051200 in words is "one billion, three hundred forty-two million, fifty-one thousand, two hundred".