10434402240 has 112 divisors (see below), whose sum is σ = 33371466912. Its totient is φ = 2762162176.

The previous prime is 10434402191. The next prime is 10434402269. The reversal of 10434402240 is 4220443401.

It is a happy number.

10434402240 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-2 number, since 2×10434402240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10434402240.

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 15 ways as a sum of consecutive naturals, for example, 91852 + ... + 171188.

It is an arithmetic number, because the mean of its divisors is an integer number (297959526).

Almost surely, 2^10434402240 is an apocalyptic number.

10434402240 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 10434402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16685733456).

10434402240 is an abundant number, since it is smaller than the sum of its proper divisors (22937064672).

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

10434402240 is a wasteful number, since it uses less digits than its factorization.

10434402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79494 (or 79484 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10434402240 its reverse (4220443401), we get a palindrome (14654845641).

The spelling of 10434402240 in words is "ten billion, four hundred thirty-four million, four hundred two thousand, two hundred forty".