42951840 has 96 divisors (see below), whose sum is σ = 138511296. Its totient is φ = 11182080.

The previous prime is 42951817. The next prime is 42951863. The reversal of 42951840 is 4815924.

It is an interprime number because it is at equal distance from previous prime (42951817) and next prime (42951863).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19600 + ... + 21680.

It is an arithmetic number, because the mean of its divisors is an integer number (1442826).

Almost surely, 2^42951840 is an apocalyptic number.

42951840 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 42951840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69255648).

42951840 is an abundant number, since it is smaller than the sum of its proper divisors (95559456).

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

42951840 is a wasteful number, since it uses less digits than its factorization.

42951840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 42951840 is about 6553.7653299458. The cubic root of 42951840 is about 350.2089636511.

The spelling of 42951840 in words is "forty-two million, nine hundred fifty-one thousand, eight hundred forty".