10334013342444 has 144 divisors (see below), whose sum is σ = 30505076784000. Its totient is φ = 2916419178240.

The previous prime is 10334013342421. The next prime is 10334013342451. The reversal of 10334013342444 is 44424331043301.

10334013342444 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 40 + 133 + 42 + 444 = 666.

It is a super-2 number, since 2×10334013342444² (a number of 27 digits) contains 22 as substring.

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 = 10334013342399 and 10334013342408.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11195689 + ... + 12083520.

It is an arithmetic number, because the mean of its divisors is an integer number (211840811000).

Almost surely, 2^{10334013342444} is an apocalyptic number.

It is an amenable number.

10334013342444 is an abundant number, since it is smaller than the sum of its proper divisors (20171063441556).

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

10334013342444 is a wasteful number, since it uses less digits than its factorization.

10334013342444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23279308 (or 23279303 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 10334013342444 its reverse (44424331043301), we get a palindrome (54758344385745).

The spelling of 10334013342444 in words is "ten trillion, three hundred thirty-four billion, thirteen million, three hundred forty-two thousand, four hundred forty-four".