42114213230200 has 192 divisors, whose sum is σ = 106644499002720. Its totient is φ = 15406952448000.

The previous prime is 42114213230137. The next prime is 42114213230263. The reversal of 42114213230200 is 203231241124.

It is an interprime number because it is at equal distance from previous prime (42114213230137) and next prime (42114213230263).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15990960 + ... + 18437440.

Almost surely, 2^{42114213230200} is an apocalyptic number.

42114213230200 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 42114213230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53322249501360).

42114213230200 is an abundant number, since it is smaller than the sum of its proper divisors (64530285772520).

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

42114213230200 is a wasteful number, since it uses less digits than its factorization.

42114213230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446658 (or 2446649 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 42114213230200 its reverse (203231241124), we get a palindrome (42317444471324).

The spelling of 42114213230200 in words is "forty-two trillion, one hundred fourteen billion, two hundred thirteen million, two hundred thirty thousand, two hundred".