42201540 has 96 divisors (see below), whose sum is σ = 135582720. Its totient is φ = 10886400.

The previous prime is 42201539. The next prime is 42201541. The reversal of 42201540 is 4510224.

It is an interprime number because it is at equal distance from previous prime (42201539) and next prime (42201541).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42201541) 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, 15480 + ... + 18000.

It is an arithmetic number, because the mean of its divisors is an integer number (1412320).

Almost surely, 2^42201540 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 42201540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67791360).

42201540 is an abundant number, since it is smaller than the sum of its proper divisors (93381180).

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

42201540 is a wasteful number, since it uses less digits than its factorization.

42201540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42201540 is about 6496.2712381796. The cubic root of 42201540 is about 348.1577762568.

Adding to 42201540 its reverse (4510224), we get a palindrome (46711764).

The spelling of 42201540 in words is "forty-two million, two hundred one thousand, five hundred forty".