4180780032 has 352 divisors, whose sum is σ = 13557755904. Its totient is φ = 1128038400.

The previous prime is 4180780031. The next prime is 4180780033. The reversal of 4180780032 is 2300870814.

It is an interprime number because it is at equal distance from previous prime (4180780031) and next prime (4180780033).

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4180779975 and 4180780002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4180780031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13618023 + ... + 13618329.

It is an arithmetic number, because the mean of its divisors is an integer number (38516352).

Almost surely, 2^4180780032 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 4180780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778877952).

4180780032 is an abundant number, since it is smaller than the sum of its proper divisors (9376975872).

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

4180780032 is a wasteful number, since it uses less digits than its factorization.

4180780032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4180780032 is about 64658.9516772426. The cubic root of 4180780032 is about 1610.9637674434.

The spelling of 4180780032 in words is "four billion, one hundred eighty million, seven hundred eighty thousand, thirty-two".