10034212440 has 128 divisors (see below), whose sum is σ = 34789824000. Its totient is φ = 2267747328.

The previous prime is 10034212427. The next prime is 10034212459. The reversal of 10034212440 is 4421243001.

10034212440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10034212440³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7651 + ... + 141869.

It is an arithmetic number, because the mean of its divisors is an integer number (271795500).

Almost surely, 2^10034212440 is an apocalyptic number.

10034212440 is a gapful number since it is divisible by the number (10) 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 10034212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17394912000).

10034212440 is an abundant number, since it is smaller than the sum of its proper divisors (24755611560).

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

10034212440 is a wasteful number, since it uses less digits than its factorization.

10034212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134329 (or 134325 counting only the distinct ones).

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

Adding to 10034212440 its reverse (4421243001), we get a palindrome (14455455441).

The spelling of 10034212440 in words is "ten billion, thirty-four million, two hundred twelve thousand, four hundred forty".