40422400 has 66 divisors (see below), whose sum is σ = 100262060. Its totient is φ = 16158720.

The previous prime is 40422341. The next prime is 40422407. The reversal of 40422400 is 422404.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (40422407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24811 + ... + 26389.

Almost surely, 2^40422400 is an apocalyptic number.

40422400 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 40422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50131030).

40422400 is an abundant number, since it is smaller than the sum of its proper divisors (59839660).

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

40422400 is a wasteful number, since it uses less digits than its factorization.

40422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 40422400 is about 6357.8612756178. The cubic root of 40422400 is about 343.1947996307.

Adding to 40422400 its reverse (422404), we get a palindrome (40844804).

The spelling of 40422400 in words is "forty million, four hundred twenty-two thousand, four hundred".