4181958637920 has 768 divisors, whose sum is σ = 17373649305600. Its totient is φ = 919663441920.

The previous prime is 4181958637919. The next prime is 4181958637931. The reversal of 4181958637920 is 297368591814.

4181958637920 is a `hidden beast` number, since 4 + 1 + 8 + 19 + 586 + 37 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 83830585 + ... + 83880455.

It is an arithmetic number, because the mean of its divisors is an integer number (22621939200).

It is a 3-persistent number, because k⋅4181958637920 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{4181958637920} is an apocalyptic number.

4181958637920 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 4181958637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8686824652800).

4181958637920 is an abundant number, since it is smaller than the sum of its proper divisors (13191690667680).

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

4181958637920 is a wasteful number, since it uses less digits than its factorization.

4181958637920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50008 (or 49994 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 4181958637920 in words is "four trillion, one hundred eighty-one billion, nine hundred fifty-eight million, six hundred thirty-seven thousand, nine hundred twenty".