42153143334400 has 480 divisors, whose sum is σ = 121003777762560. Its totient is φ = 14253756088320.

The previous prime is 42153143334391. The next prime is 42153143334413. The reversal of 42153143334400 is 443334135124.

It is a self number, because there is not a number n which added to its sum of digits gives 42153143334400.

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, 4603374622 + ... + 4603383778.

It is an arithmetic number, because the mean of its divisors is an integer number (252091203672).

Almost surely, 2^{42153143334400} is an apocalyptic number.

42153143334400 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 42153143334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60501888881280).

42153143334400 is an abundant number, since it is smaller than the sum of its proper divisors (78850634428160).

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

42153143334400 is an equidigital number, since it uses as much as digits as its factorization.

42153143334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9894 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 42153143334400 its reverse (443334135124), we get a palindrome (42596477469524).

The spelling of 42153143334400 in words is "forty-two trillion, one hundred fifty-three billion, one hundred forty-three million, three hundred thirty-four thousand, four hundred".