142241004414000 has 480 divisors, whose sum is σ = 500739229298880. Its totient is φ = 37630374912000.

The previous prime is 142241004413993. The next prime is 142241004414007. The reversal of 142241004414000 is 414400142241.

It is a happy number.

142241004414000 is a `hidden beast` number, since 1 + 4 + 2 + 241 + 0 + 0 + 4 + 414 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142241004413993) and next prime (142241004414007).

It is not an unprimeable number, because it can be changed into a prime (142241004414007) 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, 10934039496 + ... + 10934052504.

It is an arithmetic number, because the mean of its divisors is an integer number (1043206727706).

Almost surely, 2^{142241004414000} is an apocalyptic number.

142241004414000 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 142241004414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250369614649440).

142241004414000 is an abundant number, since it is smaller than the sum of its proper divisors (358498224884880).

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

142241004414000 is a wasteful number, since it uses less digits than its factorization.

142241004414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17806 (or 17787 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 142241004414000 its reverse (414400142241), we get a palindrome (142655404556241).

The spelling of 142241004414000 in words is "one hundred forty-two trillion, two hundred forty-one billion, four million, four hundred fourteen thousand".