10043945472960 has 672 divisors, whose sum is σ = 41603156133120. Its totient is φ = 2274293016576.

The previous prime is 10043945472941. The next prime is 10043945472961. The reversal of 10043945472960 is 6927454934001.

10043945472960 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 3 + 9 + 4 + 547 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10043945472897 and 10043945472906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10043945472961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45188659 + ... + 45410381.

Almost surely, 2^{10043945472960} is an apocalyptic number.

10043945472960 is a gapful number since it is divisible by the number (10) 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 10043945472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20801578066560).

10043945472960 is an abundant number, since it is smaller than the sum of its proper divisors (31559210660160).

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

10043945472960 is a wasteful number, since it uses less digits than its factorization.

10043945472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221870 (or 221847 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 10043945472960 in words is "ten trillion, forty-three billion, nine hundred forty-five million, four hundred seventy-two thousand, nine hundred sixty".