42116400 has 90 divisors (see below), whose sum is σ = 146168100. Its totient is φ = 11230080.

The previous prime is 42116387. The next prime is 42116411. The reversal of 42116400 is 461124.

42116400 is a `hidden beast` number, since 4 + 21 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×42116400² = 3547582297920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2250 + ... + 9449.

It is an arithmetic number, because the mean of its divisors is an integer number (1624090).

Almost surely, 2^42116400 is an apocalyptic number.

42116400 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 42116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73084050).

42116400 is an abundant number, since it is smaller than the sum of its proper divisors (104051700).

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

42116400 is a wasteful number, since it uses less digits than its factorization.

42116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11723 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42116400 is about 6489.7149398105. The cubic root of 42116400 is about 347.9234869440.

Adding to 42116400 its reverse (461124), we get a palindrome (42577524).

The spelling of 42116400 in words is "forty-two million, one hundred sixteen thousand, four hundred".