4009507948800 has 864 divisors, whose sum is σ = 15107386815360. Its totient is φ = 1039918694400.

The previous prime is 4009507948799. The next prime is 4009507948867. The reversal of 4009507948800 is 88497059004.

4009507948800 is a `hidden beast` number, since 4 + 0 + 0 + 95 + 0 + 79 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3067717747 + ... + 3067719053.

Almost surely, 2^{4009507948800} is an apocalyptic number.

4009507948800 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 4009507948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553693407680).

4009507948800 is an abundant number, since it is smaller than the sum of its proper divisors (11097878866560).

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

4009507948800 is a wasteful number, since it uses less digits than its factorization.

4009507948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 4009507948800 in words is "four trillion, nine billion, five hundred seven million, nine hundred forty-eight thousand, eight hundred".