10449216399744 has 192 divisors, whose sum is σ = 30569841619200. Its totient is φ = 3425053040640.

The previous prime is 10449216399737. The next prime is 10449216399793. The reversal of 10449216399744 is 44799361294401.

10449216399744 is a `hidden beast` number, since 1 + 0 + 4 + 492 + 16 + 3 + 9 + 97 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10449216399744² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292243372 + ... + 292279124.

It is an arithmetic number, because the mean of its divisors is an integer number (159217925100).

Almost surely, 2^{10449216399744} 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 10449216399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284920809600).

10449216399744 is an abundant number, since it is smaller than the sum of its proper divisors (20120625219456).

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

10449216399744 is a wasteful number, since it uses less digits than its factorization.

10449216399744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39993 (or 39978 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 10449216399744 in words is "ten trillion, four hundred forty-nine billion, two hundred sixteen million, three hundred ninety-nine thousand, seven hundred forty-four".