42261912 has 240 divisors, whose sum is σ = 151458120. Its totient is φ = 10977120.

The previous prime is 42261899. The next prime is 42261929. The reversal of 42261912 is 21916224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42261912 is a `hidden beast` number, since 42 + 2 + 619 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3841987 + ... + 3841997.

Almost surely, 2^42261912 is an apocalyptic number.

42261912 is a gapful number since it is divisible by the number (42) 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 42261912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75729060).

42261912 is an abundant number, since it is smaller than the sum of its proper divisors (109196208).

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

42261912 is a wasteful number, since it uses less digits than its factorization.

42261912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 42261912 is about 6500.9162431153. The cubic root of 42261912 is about 348.3237178017.

The spelling of 42261912 in words is "forty-two million, two hundred sixty-one thousand, nine hundred twelve".