42121024 has 112 divisors (see below), whose sum is σ = 99486720. Its totient is φ = 17487360.

The previous prime is 42121007. The next prime is 42121067. The reversal of 42121024 is 42012124.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42120989 and 42121007.

It is a congruent number.

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, 628639 + ... + 628705.

Almost surely, 2^42121024 is an apocalyptic number.

42121024 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 42121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49743360).

42121024 is an abundant number, since it is smaller than the sum of its proper divisors (57365696).

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

42121024 is a wasteful number, since it uses less digits than its factorization.

42121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42121024 is about 6490.0711860503. The cubic root of 42121024 is about 347.9362194293.

Adding to 42121024 its reverse (42012124), we get a palindrome (84133148).

Subtracting from 42121024 its reverse (42012124), we obtain a square (108900 = 330²).

The spelling of 42121024 in words is "forty-two million, one hundred twenty-one thousand, twenty-four".