4119177132 has 192 divisors, whose sum is σ = 12511564800. Its totient is φ = 1147737600.

The previous prime is 4119177103. The next prime is 4119177241. The reversal of 4119177132 is 2317719114.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5573619 + ... + 5574357.

It is an arithmetic number, because the mean of its divisors is an integer number (65164400).

Almost surely, 2^4119177132 is an apocalyptic number.

4119177132 is a gapful number since it is divisible by the number (42) 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 4119177132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255782400).

4119177132 is an abundant number, since it is smaller than the sum of its proper divisors (8392387668).

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

4119177132 is a wasteful number, since it uses less digits than its factorization.

4119177132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its digits is 10584, while the sum is 36.

The square root of 4119177132 is about 64180.8159187775. The cubic root of 4119177132 is about 1603.0121813976.

The spelling of 4119177132 in words is "four billion, one hundred nineteen million, one hundred seventy-seven thousand, one hundred thirty-two".