42401000 has 64 divisors (see below), whose sum is σ = 100386000. Its totient is φ = 16761600.

The previous prime is 42400991. The next prime is 42401033. The reversal of 42401000 is 10424.

It can be written as a sum of positive squares in 8 ways, for example, as 850084 + 41550916 = 922^2 + 6446^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108806 + ... + 109194.

Almost surely, 2^42401000 is an apocalyptic number.

42401000 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 42401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193000).

42401000 is an abundant number, since it is smaller than the sum of its proper divisors (57985000).

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

42401000 is a wasteful number, since it uses less digits than its factorization.

42401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42401000 is about 6511.6050248767. The cubic root of 42401000 is about 348.7054216047.

Adding to 42401000 its reverse (10424), we get a palindrome (42411424).

The spelling of 42401000 in words is "forty-two million, four hundred one thousand".