42153311200 has 288 divisors, whose sum is σ = 138171156480. Its totient is φ = 12127795200.

The previous prime is 42153311183. The next prime is 42153311297. The reversal of 42153311200 is 211335124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 774481 + ... + 827119.

It is an arithmetic number, because the mean of its divisors is an integer number (479760960).

Almost surely, 2^42153311200 is an apocalyptic number.

42153311200 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 42153311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69085578240).

42153311200 is an abundant number, since it is smaller than the sum of its proper divisors (96017845280).

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

42153311200 is a wasteful number, since it uses less digits than its factorization.

42153311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52690 (or 52677 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 42153311200 its reverse (211335124), we get a palindrome (42364646324).

It can be divided in two parts, 42153 and 311200, that added together give a palindrome (353353).

The spelling of 42153311200 in words is "forty-two billion, one hundred fifty-three million, three hundred eleven thousand, two hundred".