142793294400 has 567 divisors, whose sum is σ = 526404210969. Its totient is φ = 36711797760.

The previous prime is 142793294363. The next prime is 142793294491. The reversal of 142793294400 is 4492397241.

The square root of 142793294400 is 377880.

It is a perfect power (a square), and thus also a powerful number.

142793294400 is a `hidden beast` number, since 14 + 279 + 329 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51405585984 + 91387708416 = 226728^2 + 302304^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2131243167 + ... + 2131243233.

Almost surely, 2^142793294400 is an apocalyptic number.

142793294400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142793294400 is the 377880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142793294400

142793294400 is an abundant number, since it is smaller than the sum of its proper divisors (383610916569).

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

142793294400 is an equidigital number, since it uses as much as digits as its factorization.

142793294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 142793294400 in words is "one hundred forty-two billion, seven hundred ninety-three million, two hundred ninety-four thousand, four hundred".