142410470400 has 792 divisors, whose sum is σ = 563784477984. Its totient is φ = 34057420800.

The previous prime is 142410470327. The next prime is 142410470437. The reversal of 142410470400 is 4074014241.

142410470400 is a `hidden beast` number, since 14 + 241 + 0 + 4 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210354862 + ... + 210355538.

Almost surely, 2^142410470400 is an apocalyptic number.

142410470400 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 142410470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281892238992).

142410470400 is an abundant number, since it is smaller than the sum of its proper divisors (421374007584).

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

142410470400 is a wasteful number, since it uses less digits than its factorization.

142410470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 142410470400 its reverse (4074014241), we get a palindrome (146484484641).

The spelling of 142410470400 in words is "one hundred forty-two billion, four hundred ten million, four hundred seventy thousand, four hundred".