4194177984 has 336 divisors, whose sum is σ = 13500055296. Its totient is φ = 1238630400.

The previous prime is 4194177941. The next prime is 4194177997. The reversal of 4194177984 is 4897714914.

It is a super-2 number, since 2×4194177984² = 35182257922940608512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4194177984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12445464 + ... + 12445800.

It is an arithmetic number, because the mean of its divisors is an integer number (40178736).

Almost surely, 2^4194177984 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 4194177984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750027648).

4194177984 is an abundant number, since it is smaller than the sum of its proper divisors (9305877312).

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

4194177984 is a wasteful number, since it uses less digits than its factorization.

4194177984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 4194177984 is about 64762.4735784544. The cubic root of 4194177984 is about 1612.6827927626.

The spelling of 4194177984 in words is "four billion, one hundred ninety-four million, one hundred seventy-seven thousand, nine hundred eighty-four".