424412142000 has 320 divisors, whose sum is σ = 1705940241408. Its totient is φ = 88189440000.

The previous prime is 424412141981. The next prime is 424412142043. The reversal of 424412142000 is 241214424.

424412142000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2680 + ... + 921320.

Almost surely, 2^424412142000 is an apocalyptic number.

424412142000 is a gapful number since it is divisible by the number (40) 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 424412142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852970120704).

424412142000 is an abundant number, since it is smaller than the sum of its proper divisors (1281528099408).

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

424412142000 is a wasteful number, since it uses less digits than its factorization.

424412142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918685 (or 918669 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 424412142000 its reverse (241214424), we get a palindrome (424653356424).

The spelling of 424412142000 in words is "four hundred twenty-four billion, four hundred twelve million, one hundred forty-two thousand".