42011403214200 has 576 divisors, whose sum is σ = 160445321199360. Its totient is φ = 9035753287680.

The previous prime is 42011403214199. The next prime is 42011403214219. The reversal of 42011403214200 is 241230411024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3939918069 + ... + 3939928731.

It is an arithmetic number, because the mean of its divisors is an integer number (278550904860).

Almost surely, 2^{42011403214200} is an apocalyptic number.

42011403214200 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 42011403214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80222660599680).

42011403214200 is an abundant number, since it is smaller than the sum of its proper divisors (118433917985160).

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

42011403214200 is a wasteful number, since it uses less digits than its factorization.

42011403214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18596 (or 18580 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42011403214200 its reverse (241230411024), we get a palindrome (42252633625224).

The spelling of 42011403214200 in words is "forty-two trillion, eleven billion, four hundred three million, two hundred fourteen thousand, two hundred".