42200114000 has 320 divisors, whose sum is σ = 117661040640. Its totient is φ = 14495040000.

The previous prime is 42200113997. The next prime is 42200114003. The reversal of 42200114000 is 41100224.

It is an interprime number because it is at equal distance from previous prime (42200113997) and next prime (42200114003).

It is a super-2 number, since 2×42200114000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200114003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29325281 + ... + 29326719.

It is an arithmetic number, because the mean of its divisors is an integer number (367690752).

Almost surely, 2^42200114000 is an apocalyptic number.

42200114000 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 42200114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58830520320).

42200114000 is an abundant number, since it is smaller than the sum of its proper divisors (75460926640).

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

42200114000 is a wasteful number, since it uses less digits than its factorization.

42200114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 42200114000 its reverse (41100224), we get a palindrome (42241214224).

The spelling of 42200114000 in words is "forty-two billion, two hundred million, one hundred fourteen thousand".