4081380480 has 256 divisors, whose sum is σ = 14527900800. Its totient is φ = 1082880000.

The previous prime is 4081380473. The next prime is 4081380503. The reversal of 4081380480 is 840831804.

4081380480 is a `hidden beast` number, since 40 + 8 + 138 + 0 + 480 = 666.

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 31 ways as a sum of consecutive naturals, for example, 4336810 + ... + 4337750.

Almost surely, 2^4081380480 is an apocalyptic number.

4081380480 is a gapful number since it is divisible by the number (40) 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 4081380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263950400).

4081380480 is an abundant number, since it is smaller than the sum of its proper divisors (10446520320).

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

4081380480 is a wasteful number, since it uses less digits than its factorization.

4081380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4081380480 is about 63885.6829031357. The cubic root of 4081380480 is about 1598.0941473967.

The spelling of 4081380480 in words is "four billion, eighty-one million, three hundred eighty thousand, four hundred eighty".