4450472663040 has 576 divisors, whose sum is σ = 15772021181280. Its totient is φ = 1160325365760.

The previous prime is 4450472663033. The next prime is 4450472663041. The reversal of 4450472663040 is 403662740544.

4450472663040 is a `hidden beast` number, since 4 + 4 + 5 + 0 + 4 + 7 + 2 + 6 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4450472663041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845934010 + ... + 845939270.

Almost surely, 2^{4450472663040} is an apocalyptic number.

4450472663040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4450472663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7886010590640).

4450472663040 is an abundant number, since it is smaller than the sum of its proper divisors (11321548518240).

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

4450472663040 is a wasteful number, since it uses less digits than its factorization.

4450472663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 4450472663040 in words is "four trillion, four hundred fifty billion, four hundred seventy-two million, six hundred sixty-three thousand, forty".