10011140143440 has 320 divisors, whose sum is σ = 32337667756800. Its totient is φ = 2560149504000.

The previous prime is 10011140143423. The next prime is 10011140143451. The reversal of 10011140143440 is 4434104111001.

10011140143440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10011140143440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138107526 + ... + 138179994.

It is an arithmetic number, because the mean of its divisors is an integer number (101055211740).

Almost surely, 2^{10011140143440} is an apocalyptic number.

10011140143440 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 10011140143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16168833878400).

10011140143440 is an abundant number, since it is smaller than the sum of its proper divisors (22326527613360).

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

10011140143440 is a wasteful number, since it uses less digits than its factorization.

10011140143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72766 (or 72760 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10011140143440 its reverse (4434104111001), we get a palindrome (14445244254441).

The spelling of 10011140143440 in words is "ten trillion, eleven billion, one hundred forty million, one hundred forty-three thousand, four hundred forty".