42041101344 has 96 divisors (see below), whose sum is σ = 120614598720. Its totient is φ = 12716006400.

The previous prime is 42041101339. The next prime is 42041101351. The reversal of 42041101344 is 44310114024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 534502 + ... + 608090.

It is an arithmetic number, because the mean of its divisors is an integer number (1256402070).

Almost surely, 2^42041101344 is an apocalyptic number.

42041101344 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 42041101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60307299360).

42041101344 is an abundant number, since it is smaller than the sum of its proper divisors (78573497376).

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

42041101344 is a wasteful number, since it uses less digits than its factorization.

42041101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74154 (or 74146 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42041101344 its reverse (44310114024), we get a palindrome (86351215368).

The spelling of 42041101344 in words is "forty-two billion, forty-one million, one hundred one thousand, three hundred forty-four".