142541414400 has 1344 divisors, whose sum is σ = 617833598976. Its totient is φ = 28114944000.

The previous prime is 142541414369. The next prime is 142541414401. The reversal of 142541414400 is 4414145241.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142541414401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1088102335 + ... + 1088102465.

Almost surely, 2^142541414400 is an apocalyptic number.

142541414400 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 142541414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308916799488).

142541414400 is an abundant number, since it is smaller than the sum of its proper divisors (475292184576).

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

142541414400 is a wasteful number, since it uses less digits than its factorization.

142541414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 142541414400 its reverse (4414145241), we get a palindrome (146955559641).

The spelling of 142541414400 in words is "one hundred forty-two billion, five hundred forty-one million, four hundred fourteen thousand, four hundred".