4161952139904 has 640 divisors, whose sum is σ = 14322770542080. Its totient is φ = 1188249108480.

The previous prime is 4161952139831. The next prime is 4161952139959. The reversal of 4161952139904 is 4099312591614.

4161952139904 is a `hidden beast` number, since 4 + 1 + 619 + 5 + 2 + 13 + 9 + 9 + 0 + 4 = 666.

It is a super-2 number, since 2×4161952139904² (a number of 26 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 162671497 + ... + 162697079.

It is an arithmetic number, because the mean of its divisors is an integer number (22379328972).

Almost surely, 2^{4161952139904} 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 4161952139904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7161385271040).

4161952139904 is an abundant number, since it is smaller than the sum of its proper divisors (10160818402176).

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

4161952139904 is a wasteful number, since it uses less digits than its factorization.

4161952139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25710 (or 25689 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 4161952139904 in words is "four trillion, one hundred sixty-one billion, nine hundred fifty-two million, one hundred thirty-nine thousand, nine hundred four".