42421536 has 96 divisors (see below), whose sum is σ = 127169280. Its totient is φ = 13747968.

The previous prime is 42421493. The next prime is 42421553. The reversal of 42421536 is 63512424.

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 (27).

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, 31305 + ... + 32631.

It is an arithmetic number, because the mean of its divisors is an integer number (1324680).

Almost surely, 2^42421536 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 42421536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63584640).

42421536 is an abundant number, since it is smaller than the sum of its proper divisors (84747744).

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

42421536 is a wasteful number, since it uses less digits than its factorization.

42421536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1369 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42421536 is about 6513.1817109612. The cubic root of 42421536 is about 348.7617084750.

It can be divided in two parts, 4242 and 1536, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 42421536 in words is "forty-two million, four hundred twenty-one thousand, five hundred thirty-six".