10349744338440 has 288 divisors, whose sum is σ = 38006758595520. Its totient is φ = 2436862551552.

The previous prime is 10349744338429. The next prime is 10349744338441. The reversal of 10349744338440 is 4483344794301.

It is a happy number.

10349744338440 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 97 + 4 + 433 + 84 + 40 = 666.

10349744338440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10349744338441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2298814 + ... + 5097453.

It is an arithmetic number, because the mean of its divisors is an integer number (131967911790).

Almost surely, 2^{10349744338440} is an apocalyptic number.

10349744338440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10349744338440 is an abundant number, since it is smaller than the sum of its proper divisors (27657014257080).

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

10349744338440 is a wasteful number, since it uses less digits than its factorization.

10349744338440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396333 (or 7396313 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 10349744338440 in words is "ten trillion, three hundred forty-nine billion, seven hundred forty-four million, three hundred thirty-eight thousand, four hundred forty".