10456464120 has 128 divisors (see below), whose sum is σ = 32216970240. Its totient is φ = 2713720320.

The previous prime is 10456464061. The next prime is 10456464121. The reversal of 10456464120 is 2146465401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10456464121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015719 + ... + 1025961.

It is an arithmetic number, because the mean of its divisors is an integer number (251695080).

Almost surely, 2^10456464120 is an apocalyptic number.

10456464120 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 10456464120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16108485120).

10456464120 is an abundant number, since it is smaller than the sum of its proper divisors (21760506120).

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

10456464120 is a wasteful number, since it uses less digits than its factorization.

10456464120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 10456464120 in words is "ten billion, four hundred fifty-six million, four hundred sixty-four thousand, one hundred twenty".