10481129356320 has 960 divisors, whose sum is σ = 45195841506816. Its totient is φ = 2232839208960.

The previous prime is 10481129356307. The next prime is 10481129356331. The reversal of 10481129356320 is 2365392118401.

10481129356320 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 1 + 1 + 2 + 9 + 3 + 5 + 632 + 0 = 666.

10481129356320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 158817730 + ... + 158883710.

Almost surely, 2^{10481129356320} is an apocalyptic number.

10481129356320 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 10481129356320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22597920753408).

10481129356320 is an abundant number, since it is smaller than the sum of its proper divisors (34714712150496).

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

10481129356320 is a wasteful number, since it uses less digits than its factorization.

10481129356320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66135 (or 66118 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10481129356320 in words is "ten trillion, four hundred eighty-one billion, one hundred twenty-nine million, three hundred fifty-six thousand, three hundred twenty".