142201382400 has 2880 divisors, whose sum is σ = 718100038656. Its totient is φ = 25952256000.

The previous prime is 142201382387. The next prime is 142201382413. The reversal of 142201382400 is 4283102241.

142201382400 is a `hidden beast` number, since 1 + 4 + 220 + 1 + 38 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (142201382387) and next prime (142201382413).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3468326380 + ... + 3468326420.

Almost surely, 2^142201382400 is an apocalyptic number.

142201382400 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 142201382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359050019328).

142201382400 is an abundant number, since it is smaller than the sum of its proper divisors (575898656256).

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

142201382400 is a wasteful number, since it uses less digits than its factorization.

142201382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 142201382400 its reverse (4283102241), we get a palindrome (146484484641).

The spelling of 142201382400 in words is "one hundred forty-two billion, two hundred one million, three hundred eighty-two thousand, four hundred".