8940630441600 has 2880 divisors, whose sum is σ = 40211133510240. Its totient is φ = 1928448000000.

The previous prime is 8940630441559. The next prime is 8940630441619. The reversal of 8940630441600 is 61440360498.

8940630441600 is a `hidden beast` number, since 8 + 9 + 4 + 0 + 6 + 30 + 4 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×8940630441600² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 35620041475 + ... + 35620041725.

Almost surely, 2^{8940630441600} is an apocalyptic number.

8940630441600 is a gapful number since it is divisible by the number (80) 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 8940630441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20105566755120).

8940630441600 is an abundant number, since it is smaller than the sum of its proper divisors (31270503068640).

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

8940630441600 is a wasteful number, since it uses less digits than its factorization.

8940630441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 8940630441600 in words is "eight trillion, nine hundred forty billion, six hundred thirty million, four hundred forty-one thousand, six hundred".