42402111120424 has 64 divisors (see below), whose sum is σ = 87623153049600. Its totient is φ = 19076286398400.

The previous prime is 42402111120409. The next prime is 42402111120461.

42402111120424 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42402111120392 and 42402111120401.

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, 155259 + ... + 9210229.

It is an arithmetic number, because the mean of its divisors is an integer number (1369111766400).

Almost surely, 2^{42402111120424} is an apocalyptic number.

42402111120424 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 42402111120424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43811576524800).

42402111120424 is an abundant number, since it is smaller than the sum of its proper divisors (45221041929176).

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

42402111120424 is a wasteful number, since it uses less digits than its factorization.

42402111120424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9055534 (or 9055530 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 4240211 and 1120424, that added together give a palindrome (5360635).

The spelling of 42402111120424 in words is "forty-two trillion, four hundred two billion, one hundred eleven million, one hundred twenty thousand, four hundred twenty-four".