42035400000 has 756 divisors, whose sum is σ = 166392092412. Its totient is φ = 10137600000.

The previous prime is 42035399947. The next prime is 42035400031. The reversal of 42035400000 is 453024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 38475607104 + 3559792896 = 196152^2 + 59664^2 .

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

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 217799904 + ... + 217800096.

Almost surely, 2^42035400000 is an apocalyptic number.

42035400000 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 42035400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83196046206).

42035400000 is an abundant number, since it is smaller than the sum of its proper divisors (124356692412).

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

42035400000 is a wasteful number, since it uses less digits than its factorization.

42035400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 42035400000 its reverse (453024), we get a palindrome (42035853024).

The spelling of 42035400000 in words is "forty-two billion, thirty-five million, four hundred thousand".