142255310400 has 1764 divisors, whose sum is σ = 647536657680. Its totient is φ = 30569011200.

The previous prime is 142255310387. The next prime is 142255310437. The reversal of 142255310400 is 4013552241.

142255310400 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 553 + 104 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1764).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1085918335 + ... + 1085918465.

Almost surely, 2^142255310400 is an apocalyptic number.

142255310400 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 142255310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323768328840).

142255310400 is an abundant number, since it is smaller than the sum of its proper divisors (505281347280).

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

142255310400 is a wasteful number, since it uses less digits than its factorization.

142255310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 142255310400 its reverse (4013552241), we get a palindrome (146268862641).

The spelling of 142255310400 in words is "one hundred forty-two billion, two hundred fifty-five million, three hundred ten thousand, four hundred".