10479027335040 has 768 divisors, whose sum is σ = 42257770813440. Its totient is φ = 2458410393600.

The previous prime is 10479027335027. The next prime is 10479027335047. The reversal of 10479027335040 is 4053372097401.

10479027335040 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 90 + 27 + 33 + 504 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10479027335047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52933522 + ... + 53131118.

It is an arithmetic number, because the mean of its divisors is an integer number (55023139080).

Almost surely, 2^{10479027335040} is an apocalyptic number.

10479027335040 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 10479027335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21128885406720).

10479027335040 is an abundant number, since it is smaller than the sum of its proper divisors (31778743478400).

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

10479027335040 is a wasteful number, since it uses less digits than its factorization.

10479027335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197673 (or 197649 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 10479027335040 in words is "ten trillion, four hundred seventy-nine billion, twenty-seven million, three hundred thirty-five thousand, forty".