42321093144 has 256 divisors, whose sum is σ = 124366233600. Its totient is φ = 11871974400.

The previous prime is 42321093137. The next prime is 42321093149. The reversal of 42321093144 is 44139012324.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42321093149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34603717 + ... + 34604939.

It is an arithmetic number, because the mean of its divisors is an integer number (485805600).

Almost surely, 2^42321093144 is an apocalyptic number.

42321093144 is a gapful number since it is divisible by the number (44) 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 42321093144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62183116800).

42321093144 is an abundant number, since it is smaller than the sum of its proper divisors (82045140456).

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

42321093144 is a wasteful number, since it uses less digits than its factorization.

42321093144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 42321093144 in words is "forty-two billion, three hundred twenty-one million, ninety-three thousand, one hundred forty-four".