42021400 has 48 divisors (see below), whose sum is σ = 98375400. Its totient is φ = 16692480.

The previous prime is 42021389. The next prime is 42021401. The reversal of 42021400 is 412024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42021401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31956 + ... + 33244.

Almost surely, 2^42021400 is an apocalyptic number.

42021400 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 42021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49187700).

42021400 is an abundant number, since it is smaller than the sum of its proper divisors (56354000).

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

42021400 is a wasteful number, since it uses less digits than its factorization.

42021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 42021400 is about 6482.3915339942. The cubic root of 42021400 is about 347.6616917425.

Adding to 42021400 its reverse (412024), we get a palindrome (42433424).

The spelling of 42021400 in words is "forty-two million, twenty-one thousand, four hundred".