42385615200 has 432 divisors, whose sum is σ = 158329866240. Its totient is φ = 11059960320.

The previous prime is 42385615123. The next prime is 42385615301. The reversal of 42385615200 is 251658324.

42385615200 is a `hidden beast` number, since 4 + 2 + 38 + 5 + 615 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×42385615200³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9134481 + ... + 9139119.

It is an arithmetic number, because the mean of its divisors is an integer number (366504320).

Almost surely, 2^42385615200 is an apocalyptic number.

42385615200 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 42385615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79164933120).

42385615200 is an abundant number, since it is smaller than the sum of its proper divisors (115944251040).

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

42385615200 is a wasteful number, since it uses less digits than its factorization.

42385615200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4721 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42385615200 in words is "forty-two billion, three hundred eighty-five million, six hundred fifteen thousand, two hundred".