42102240 has 96 divisors (see below), whose sum is σ = 133539840. Its totient is φ = 11149824.

The previous prime is 42102199. The next prime is 42102257. The reversal of 42102240 is 4220124.

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

It is a super-2 number, since 2×42102240² = 3545197226035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 114537 + ... + 114903.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 2^42102240 is an apocalyptic number.

42102240 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 42102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

42102240 is an abundant number, since it is smaller than the sum of its proper divisors (91437600).

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

42102240 is a wasteful number, since it uses less digits than its factorization.

42102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42102240 is about 6488.6238910882. The cubic root of 42102240 is about 347.8844906639.

Adding to 42102240 its reverse (4220124), we get a palindrome (46322364).

The spelling of 42102240 in words is "forty-two million, one hundred two thousand, two hundred forty".