4179732480 has 1152 divisors, whose sum is σ = 19624550400. Its totient is φ = 796262400.

The previous prime is 4179732467. The next prime is 4179732493. The reversal of 4179732480 is 842379714.

It is an interprime number because it is at equal distance from previous prime (4179732467) and next prime (4179732493).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134830065 + ... + 134830095.

It is an arithmetic number, because the mean of its divisors is an integer number (17035200).

Almost surely, 2^4179732480 is an apocalyptic number.

4179732480 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 4179732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812275200).

4179732480 is an abundant number, since it is smaller than the sum of its proper divisors (15444817920).

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

4179732480 is a wasteful number, since it uses less digits than its factorization.

4179732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4179732480 is about 64650.8505744511. The cubic root of 4179732480 is about 1610.8292064866.

The spelling of 4179732480 in words is "four billion, one hundred seventy-nine million, seven hundred thirty-two thousand, four hundred eighty".