142414212400 has 60 divisors (see below), whose sum is σ = 342705277512. Its totient is φ = 56873259520.

The previous prime is 142414212389. The next prime is 142414212431. The reversal of 142414212400 is 4212414241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41722 + ... + 535321.

Almost surely, 2^142414212400 is an apocalyptic number.

142414212400 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 142414212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171352638756).

142414212400 is an abundant number, since it is smaller than the sum of its proper divisors (200291065112).

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

142414212400 is a wasteful number, since it uses less digits than its factorization.

142414212400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577678 (or 577667 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 142414212400 its reverse (4212414241), we get a palindrome (146626626641).

The spelling of 142414212400 in words is "one hundred forty-two billion, four hundred fourteen million, two hundred twelve thousand, four hundred".