10434120000 has 140 divisors (see below), whose sum is σ = 34498032096. Its totient is φ = 2782400000.

The previous prime is 10434119977. The next prime is 10434120007. The reversal of 10434120000 is 2143401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76525 + ... + 163475.

Almost surely, 2^10434120000 is an apocalyptic number.

10434120000 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 10434120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17249016048).

10434120000 is an abundant number, since it is smaller than the sum of its proper divisors (24063912096).

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

10434120000 is an frugal number, since it uses more digits than its factorization.

10434120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86986 (or 86961 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10434120000 its reverse (2143401), we get a palindrome (10436263401).

The spelling of 10434120000 in words is "ten billion, four hundred thirty-four million, one hundred twenty thousand".