10416011048352 has 1440 divisors, whose sum is σ = 42773819014080. Its totient is φ = 2449283235840.

The previous prime is 10416011048321. The next prime is 10416011048393. The reversal of 10416011048352 is 25384011061401.

10416011048352 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 60 + 110 + 483 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 533296827 + ... + 533316357.

It is an arithmetic number, because the mean of its divisors is an integer number (29704040982).

Almost surely, 2^{10416011048352} is an apocalyptic number.

10416011048352 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 10416011048352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21386909507040).

10416011048352 is an abundant number, since it is smaller than the sum of its proper divisors (32357807965728).

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

10416011048352 is a wasteful number, since it uses less digits than its factorization.

10416011048352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19616 (or 19592 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10416011048352 in words is "ten trillion, four hundred sixteen billion, eleven million, forty-eight thousand, three hundred fifty-two".