42281094400 has 216 divisors, whose sum is σ = 111357794520. Its totient is φ = 15838740480.

The previous prime is 42281094379. The next prime is 42281094409. The reversal of 42281094400 is 449018224.

It can be written as a sum of positive squares in 12 ways, for example, as 1192182784 + 41088911616 = 34528^2 + 202704^2 .

It is a super-2 number, since 2×42281094400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42281094409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24914352 + ... + 24916048.

It is an arithmetic number, because the mean of its divisors is an integer number (515545345).

Almost surely, 2^42281094400 is an apocalyptic number.

42281094400 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 42281094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55678897260).

42281094400 is an abundant number, since it is smaller than the sum of its proper divisors (69076700120).

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

42281094400 is a wasteful number, since it uses less digits than its factorization.

42281094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 42281094400 in words is "forty-two billion, two hundred eighty-one million, ninety-four thousand, four hundred".