42811400 has 48 divisors (see below), whose sum is σ = 100774800. Its totient is φ = 16911680.

The previous prime is 42811399. The next prime is 42811429. The reversal of 42811400 is 411824.

42811400 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15311 + ... + 17889.

It is an arithmetic number, because the mean of its divisors is an integer number (2099475).

Almost surely, 2^42811400 is an apocalyptic number.

42811400 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 42811400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50387400).

42811400 is an abundant number, since it is smaller than the sum of its proper divisors (57963400).

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

42811400 is a wasteful number, since it uses less digits than its factorization.

42811400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 42811400 is about 6543.0421059321. The cubic root of 42811400 is about 349.8268531330.

The spelling of 42811400 in words is "forty-two million, eight hundred eleven thousand, four hundred".