10434012432 has 80 divisors (see below), whose sum is σ = 27745009920. Its totient is φ = 3376429056.

The previous prime is 10434012397. The next prime is 10434012451. The reversal of 10434012432 is 23421043401.

It is a super-2 number, since 2×10434012432² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815944 + ... + 828632.

It is an arithmetic number, because the mean of its divisors is an integer number (346812624).

Almost surely, 2^10434012432 is an apocalyptic number.

10434012432 is a gapful number since it is divisible by the number (12) 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 10434012432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872504960).

10434012432 is an abundant number, since it is smaller than the sum of its proper divisors (17310997488).

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

10434012432 is a wasteful number, since it uses less digits than its factorization.

10434012432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200 (or 13194 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10434012432 its reverse (23421043401), we get a palindrome (33855055833).

The spelling of 10434012432 in words is "ten billion, four hundred thirty-four million, twelve thousand, four hundred thirty-two".