142214020400 has 120 divisors (see below), whose sum is σ = 350024245824. Its totient is φ = 55497657600.

The previous prime is 142214020397. The next prime is 142214020409. The reversal of 142214020400 is 4020412241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (142214020409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16284035 + ... + 16292765.

Almost surely, 2^142214020400 is an apocalyptic number.

142214020400 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 142214020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175012122912).

142214020400 is an abundant number, since it is smaller than the sum of its proper divisors (207810225424).

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

142214020400 is a wasteful number, since it uses less digits than its factorization.

142214020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9739 (or 9728 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 142214020400 its reverse (4020412241), we get a palindrome (146234432641).

The spelling of 142214020400 in words is "one hundred forty-two billion, two hundred fourteen million, twenty thousand, four hundred".