4180054632 has 256 divisors, whose sum is σ = 12138577920. Its totient is φ = 1190246400.

The previous prime is 4180054621. The next prime is 4180054643. The reversal of 4180054632 is 2364500814.

It is an interprime number because it is at equal distance from previous prime (4180054621) and next prime (4180054643).

It is a junction number, because it is equal to n+sod(n) for n = 4180054593 and 4180054602.

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, 32913753 + ... + 32913879.

It is an arithmetic number, because the mean of its divisors is an integer number (47416320).

Almost surely, 2^4180054632 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 4180054632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6069288960).

4180054632 is an abundant number, since it is smaller than the sum of its proper divisors (7958523288).

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

4180054632 is a wasteful number, since it uses less digits than its factorization.

4180054632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 4180054632 is about 64653.3420017867. The cubic root of 4180054632 is about 1610.8705901973.

The spelling of 4180054632 in words is "four billion, one hundred eighty million, fifty-four thousand, six hundred thirty-two".