39450561663744 has 1152 divisors, whose sum is σ = 147735244339200. Its totient is φ = 10086415073280.

The previous prime is 39450561663703. The next prime is 39450561663749. The reversal of 39450561663744 is 44736616505493.

39450561663744 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 0 + 5 + 616 + 6 + 3 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×39450561663744² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (39450561663749) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36093834462 + ... + 36093835554.

It is an arithmetic number, because the mean of its divisors is an integer number (128242399600).

Almost surely, 2^{39450561663744} 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 39450561663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73867622169600).

39450561663744 is an abundant number, since it is smaller than the sum of its proper divisors (108284682675456).

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

39450561663744 is a wasteful number, since it uses less digits than its factorization.

39450561663744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 63.

The spelling of 39450561663744 in words is "thirty-nine trillion, four hundred fifty billion, five hundred sixty-one million, six hundred sixty-three thousand, seven hundred forty-four".