10491040353024 has 1008 divisors, whose sum is σ = 39450561663744. Its totient is φ = 2703659212800.

The previous prime is 10491040353007. The next prime is 10491040353029. The reversal of 10491040353024 is 42035304019401.

10491040353024 is a `hidden beast` number, since 10 + 4 + 9 + 104 + 0 + 3 + 530 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10491040353024² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10491040353024.

It is not an unprimeable number, because it can be changed into a prime (10491040353029) 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 111 ways as a sum of consecutive naturals, for example, 1882473502 + ... + 1882479074.

It is an arithmetic number, because the mean of its divisors is an integer number (39137461968).

Almost surely, 2^{10491040353024} is an apocalyptic number.

10491040353024 is a gapful number since it is divisible by the number (14) 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 10491040353024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19725280831872).

10491040353024 is an abundant number, since it is smaller than the sum of its proper divisors (28959521310720).

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

10491040353024 is an equidigital number, since it uses as much as digits as its factorization.

10491040353024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5756 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10491040353024 in words is "ten trillion, four hundred ninety-one billion, forty million, three hundred fifty-three thousand, twenty-four".