4011981905952 has 144 divisors (see below), whose sum is σ = 11565503389440. Its totient is φ = 1319026415616.

The previous prime is 4011981905903. The next prime is 4011981905969. The reversal of 4011981905952 is 2595091891104.

4011981905952 is a `hidden beast` number, since 40 + 1 + 1 + 9 + 8 + 1 + 9 + 0 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21910008 + ... + 22092360.

It is an arithmetic number, because the mean of its divisors is an integer number (80315995760).

Almost surely, 2^{4011981905952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4011981905952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782751694720).

4011981905952 is an abundant number, since it is smaller than the sum of its proper divisors (7553521483488).

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

4011981905952 is a wasteful number, since it uses less digits than its factorization.

4011981905952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183415 (or 183404 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 4011981905952 in words is "four trillion, eleven billion, nine hundred eighty-one million, nine hundred five thousand, nine hundred fifty-two".