4162404480 has 512 divisors, whose sum is σ = 15381273600. Its totient is φ = 948879360.

The previous prime is 4162404443. The next prime is 4162404517. The reversal of 4162404480 is 844042614.

It is an interprime number because it is at equal distance from previous prime (4162404443) and next prime (4162404517).

It is a super-2 number, since 2×4162404480² = 34651222110248140800, which contains 22 as substring.

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, 31774015 + ... + 31774145.

It is an arithmetic number, because the mean of its divisors is an integer number (30041550).

Almost surely, 2^4162404480 is an apocalyptic number.

4162404480 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 4162404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690636800).

4162404480 is an abundant number, since it is smaller than the sum of its proper divisors (11218869120).

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

4162404480 is a wasteful number, since it uses less digits than its factorization.

4162404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 4162404480 is about 64516.6992336093. The cubic root of 4162404480 is about 1608.6001076861.

The spelling of 4162404480 in words is "four billion, one hundred sixty-two million, four hundred four thousand, four hundred eighty".