10831004533440 has 672 divisors, whose sum is σ = 46068792247296. Its totient is φ = 2274380881920.

The previous prime is 10831004533429. The next prime is 10831004533469. The reversal of 10831004533440 is 4433540013801.

10831004533440 is a `hidden beast` number, since 1 + 0 + 8 + 310 + 0 + 4 + 5 + 334 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 10831004533395 and 10831004533404.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 55200949 + ... + 55396811.

It is an arithmetic number, because the mean of its divisors is an integer number (68554750368).

Almost surely, 2^{10831004533440} is an apocalyptic number.

10831004533440 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 10831004533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034396123648).

10831004533440 is an abundant number, since it is smaller than the sum of its proper divisors (35237787713856).

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

10831004533440 is a wasteful number, since it uses less digits than its factorization.

10831004533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196117 (or 196104 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 10831004533440 in words is "ten trillion, eight hundred thirty-one billion, four million, five hundred thirty-three thousand, four hundred forty".