10323643084440 has 384 divisors, whose sum is σ = 37298047656960. Its totient is φ = 2277842466816.

The previous prime is 10323643084351. The next prime is 10323643084499. The reversal of 10323643084440 is 4448034632301.

It is a super-2 number, since 2×10323643084440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10323643084392 and 10323643084401.

It is a congruent number.

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, 19918419 + ... + 20430141.

It is an arithmetic number, because the mean of its divisors is an integer number (97130332440).

Almost surely, 2^{10323643084440} is an apocalyptic number.

10323643084440 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 10323643084440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649023828480).

10323643084440 is an abundant number, since it is smaller than the sum of its proper divisors (26974404572520).

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

10323643084440 is a wasteful number, since it uses less digits than its factorization.

10323643084440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511871 (or 511860 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 10323643084440 in words is "ten trillion, three hundred twenty-three billion, six hundred forty-three million, eighty-four thousand, four hundred forty".