42193920 has 176 divisors, whose sum is σ = 140309568. Its totient is φ = 10813440.

The previous prime is 42193919. The next prime is 42193967. The reversal of 42193920 is 2939124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

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, 629727 + ... + 629793.

Almost surely, 2^42193920 is an apocalyptic number.

42193920 is a gapful number since it is divisible by the number (40) 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 42193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70154784).

42193920 is an abundant number, since it is smaller than the sum of its proper divisors (98115648).

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

42193920 is a wasteful number, since it uses less digits than its factorization.

42193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 42193920 is about 6495.6847214131. The cubic root of 42193920 is about 348.1368202921.

The spelling of 42193920 in words is "forty-two million, one hundred ninety-three thousand, nine hundred twenty".