10479741120 has 420 divisors, whose sum is σ = 39628419600. Its totient is φ = 2628329472.

The previous prime is 10479741059. The next prime is 10479741143. The reversal of 10479741120 is 2114797401.

10479741120 is a `hidden beast` number, since 1 + 0 + 479 + 74 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7490181 + ... + 7491579.

It is an arithmetic number, because the mean of its divisors is an integer number (94353380).

Almost surely, 2^10479741120 is an apocalyptic number.

10479741120 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 10479741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19814209800).

10479741120 is an abundant number, since it is smaller than the sum of its proper divisors (29148678480).

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

10479741120 is a wasteful number, since it uses less digits than its factorization.

10479741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10479741120 in words is "ten billion, four hundred seventy-nine million, seven hundred forty-one thousand, one hundred twenty".