42905940 has 192 divisors, whose sum is σ = 154441728. Its totient is φ = 8640000.

The previous prime is 42905917. The next prime is 42905981. The reversal of 42905940 is 4950924.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170815 + ... + 171065.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^42905940 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 42905940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

42905940 is an abundant number, since it is smaller than the sum of its proper divisors (111535788).

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

42905940 is a wasteful number, since it uses less digits than its factorization.

42905940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 42905940 is about 6550.2625901562. The cubic root of 42905940 is about 350.0841702328.

The spelling of 42905940 in words is "forty-two million, nine hundred five thousand, nine hundred forty".