42026400 has 216 divisors, whose sum is σ = 159950700. Its totient is φ = 10321920.

The previous prime is 42026399. The next prime is 42026401. The reversal of 42026400 is 462024.

42026400 is a `hidden beast` number, since 4 + 20 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42026399) and next prime (42026401).

It can be written as a sum of positive squares in 6 ways, for example, as 9809424 + 32216976 = 3132^2 + 5676^2 .

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 (42026401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93376 + ... + 93824.

Almost surely, 2^42026400 is an apocalyptic number.

42026400 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 42026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79975350).

42026400 is an abundant number, since it is smaller than the sum of its proper divisors (117924300).

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

42026400 is a wasteful number, since it uses less digits than its factorization.

42026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42026400 is about 6482.7771826587. Note that the first 3 decimals coincide. The cubic root of 42026400 is about 347.6754802686.

Adding to 42026400 its reverse (462024), we get a palindrome (42488424).

The spelling of 42026400 in words is "forty-two million, twenty-six thousand, four hundred".