42120336 has 80 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 13574784.

The previous prime is 42120301. The next prime is 42120367. The reversal of 42120336 is 63302124.

Added to its reverse (63302124) it gives a triangular number (105422460 = T₁₄₅₂₀).

It is a happy 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, 302955 + ... + 303093.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^42120336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42120336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

42120336 is an abundant number, since it is smaller than the sum of its proper divisors (70372464).

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

42120336 is a wasteful number, since it uses less digits than its factorization.

42120336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 42120336 is about 6490.0181817927. The cubic root of 42120336 is about 347.9343250355.

Adding to 42120336 its reverse (63302124), we get a triangular number (105422460 = T₁₄₅₂₀).

The spelling of 42120336 in words is "forty-two million, one hundred twenty thousand, three hundred thirty-six".