42416400 has 120 divisors (see below), whose sum is σ = 146379520. Its totient is φ = 10437120.

The previous prime is 42416389. The next prime is 42416449. The reversal of 42416400 is 461424.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14241 + ... + 16959.

Almost surely, 2^42416400 is an apocalyptic number.

42416400 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 42416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73189760).

42416400 is an abundant number, since it is smaller than the sum of its proper divisors (103963120).

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

42416400 is a wasteful number, since it uses less digits than its factorization.

42416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 42416400 is about 6512.7874216805. The cubic root of 42416400 is about 348.7476329794.

Adding to 42416400 its reverse (461424), we get a palindrome (42877824).

The spelling of 42416400 in words is "forty-two million, four hundred sixteen thousand, four hundred".