42407125200 has 360 divisors, whose sum is σ = 160937824320. Its totient is φ = 10255257600.

The previous prime is 42407125181. The next prime is 42407125213. The reversal of 42407125200 is 252170424.

42407125200 is a `hidden beast` number, since 4 + 2 + 407 + 1 + 252 + 0 + 0 = 666.

42407125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19917736 + ... + 19919864.

It is an arithmetic number, because the mean of its divisors is an integer number (447049512).

Almost surely, 2^42407125200 is an apocalyptic number.

42407125200 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 42407125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80468912160).

42407125200 is an abundant number, since it is smaller than the sum of its proper divisors (118530699120).

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

42407125200 is a wasteful number, since it uses less digits than its factorization.

42407125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 42407125200 its reverse (252170424), we get a palindrome (42659295624).

The spelling of 42407125200 in words is "forty-two billion, four hundred seven million, one hundred twenty-five thousand, two hundred".