4054091184 has 480 divisors, whose sum is σ = 14541194304. Its totient is φ = 1035141120.

The previous prime is 4054091177. The next prime is 4054091203. The reversal of 4054091184 is 4811904504.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12952212 + ... + 12952524.

Almost surely, 2^4054091184 is an apocalyptic number.

4054091184 is a gapful number since it is divisible by the number (44) 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 4054091184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7270597152).

4054091184 is an abundant number, since it is smaller than the sum of its proper divisors (10487103120).

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

4054091184 is a wasteful number, since it uses less digits than its factorization.

4054091184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4054091184 is about 63671.7455705433. The cubic root of 4054091184 is about 1594.5244054582.

Adding to 4054091184 its reverse (4811904504), we get a palindrome (8865995688).

The spelling of 4054091184 in words is "four billion, fifty-four million, ninety-one thousand, one hundred eighty-four".