42032314212200 has 192 divisors, whose sum is σ = 110865685392000. Its totient is φ = 14691631703040.

The previous prime is 42032314212193. The next prime is 42032314212211. The reversal of 42032314212200 is 221241323024.

It is a super-2 number, since 2×42032314212200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42032314212200.

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, 64836062 + ... + 65481138.

It is an arithmetic number, because the mean of its divisors is an integer number (577425444750).

Almost surely, 2^{42032314212200} is an apocalyptic number.

42032314212200 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 42032314212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55432842696000).

42032314212200 is an abundant number, since it is smaller than the sum of its proper divisors (68833371179800).

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

42032314212200 is a wasteful number, since it uses less digits than its factorization.

42032314212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646444 (or 646435 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 42032314212200 its reverse (221241323024), we get a palindrome (42253555535224).

The spelling of 42032314212200 in words is "forty-two trillion, thirty-two billion, three hundred fourteen million, two hundred twelve thousand, two hundred".