4106993932800 has 2880 divisors, whose sum is σ = 18431234325504. Its totient is φ = 893406412800.

The previous prime is 4106993932793. The next prime is 4106993932801. The reversal of 4106993932800 is 82393996014.

4106993932800 is a `hidden beast` number, since 410 + 6 + 99 + 39 + 32 + 80 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (4106993932801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13377830247 + ... + 13377830553.

Almost surely, 2^{4106993932800} is an apocalyptic number.

4106993932800 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 4106993932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215617162752).

4106993932800 is an abundant number, since it is smaller than the sum of its proper divisors (14324240392704).

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

4106993932800 is a wasteful number, since it uses less digits than its factorization.

4106993932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 4106993932800 in words is "four trillion, one hundred six billion, nine hundred ninety-three million, nine hundred thirty-two thousand, eight hundred".