42001956 has 96 divisors (see below), whose sum is σ = 116954880. Its totient is φ = 13001472.

The previous prime is 42001903. The next prime is 42001957. The reversal of 42001956 is 65910024.

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

It is not an unprimeable number, because it can be changed into a prime (42001957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91680 + ... + 92136.

It is an arithmetic number, because the mean of its divisors is an integer number (1218280).

Almost surely, 2^42001956 is an apocalyptic number.

42001956 is a gapful number since it is divisible by the number (46) 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 42001956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58477440).

42001956 is an abundant number, since it is smaller than the sum of its proper divisors (74952924).

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

42001956 is a wasteful number, since it uses less digits than its factorization.

42001956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42001956 is about 6480.8916053272. The cubic root of 42001956 is about 347.6080605224.

The spelling of 42001956 in words is "forty-two million, one thousand, nine hundred fifty-six".