42201090 has 192 divisors, whose sum is σ = 128044800. Its totient is φ = 9580032.

The previous prime is 42201079. The next prime is 42201097. The reversal of 42201090 is 9010224.

42201090 = 66² + 67² + ... + 502².

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

It is not an unprimeable number, because it can be changed into a prime (42201097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1140552 + ... + 1140588.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 2^42201090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42201090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

42201090 is an abundant number, since it is smaller than the sum of its proper divisors (85843710).

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

42201090 is a wasteful number, since it uses less digits than its factorization.

42201090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42201090 is about 6496.2366028340. The cubic root of 42201090 is about 348.1565387699.

The spelling of 42201090 in words is "forty-two million, two hundred one thousand, ninety".