4140177920 has 80 divisors (see below), whose sum is σ = 9990920808. Its totient is φ = 1645363200.

The previous prime is 4140177889. The next prime is 4140177931. The reversal of 4140177920 is 297710414.

It can be written as a sum of positive squares in 4 ways, for example, as 3832105216 + 308072704 = 61904^2 + 17552^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 396770 + ... + 407070.

Almost surely, 2^4140177920 is an apocalyptic number.

4140177920 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 4140177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4995460404).

4140177920 is an abundant number, since it is smaller than the sum of its proper divisors (5850742888).

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

4140177920 is a wasteful number, since it uses less digits than its factorization.

4140177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10481 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 4140177920 is about 64344.2143475231. The cubic root of 4140177920 is about 1605.7317755324.

The spelling of 4140177920 in words is "four billion, one hundred forty million, one hundred seventy-seven thousand, nine hundred twenty".