42401413120 has 192 divisors, whose sum is σ = 114577182720. Its totient is φ = 14920089600.

The previous prime is 42401413111. The next prime is 42401413127. The reversal of 42401413120 is 2131410424.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 42401413091 and 42401413100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42401413127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3485769 + ... + 3497911.

It is an arithmetic number, because the mean of its divisors is an integer number (596756160).

Almost surely, 2^42401413120 is an apocalyptic number.

42401413120 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 42401413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57288591360).

42401413120 is an abundant number, since it is smaller than the sum of its proper divisors (72175769600).

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

42401413120 is a wasteful number, since it uses less digits than its factorization.

42401413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212 (or 12192 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 42401413120 its reverse (2131410424), we get a palindrome (44532823544).

The spelling of 42401413120 in words is "forty-two billion, four hundred one million, four hundred thirteen thousand, one hundred twenty".