10334030240144 has 160 divisors (see below), whose sum is σ = 21929447675520. Its totient is φ = 4689177292800.

The previous prime is 10334030240041. The next prime is 10334030240159. The reversal of 10334030240144 is 44104203043301.

It is a happy number.

It is a super-3 number, since 3×10334030240144³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1973270294 + ... + 1973275530.

It is an arithmetic number, because the mean of its divisors is an integer number (137059047972).

Almost surely, 2^{10334030240144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10334030240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10964723837760).

10334030240144 is an abundant number, since it is smaller than the sum of its proper divisors (11595417435376).

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

10334030240144 is a wasteful number, since it uses less digits than its factorization.

10334030240144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6049 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10334030240144 its reverse (44104203043301), we get a palindrome (54438233283445).

The spelling of 10334030240144 in words is "ten trillion, three hundred thirty-four billion, thirty million, two hundred forty thousand, one hundred forty-four".