10289938831440 has 160 divisors (see below), whose sum is σ = 32773804592256. Its totient is φ = 2669112606720.

The previous prime is 10289938831439. The next prime is 10289938831453. The reversal of 10289938831440 is 4413883998201.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764559 + ... + 4867601.

Almost surely, 2^{10289938831440} is an apocalyptic number.

10289938831440 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 10289938831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386902296128).

10289938831440 is an abundant number, since it is smaller than the sum of its proper divisors (22483865760816).

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

10289938831440 is a wasteful number, since it uses less digits than its factorization.

10289938831440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103437 (or 3103431 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 10289938831440 in words is "ten trillion, two hundred eighty-nine billion, nine hundred thirty-eight million, eight hundred thirty-one thousand, four hundred forty".