4374164480 has 264 divisors, whose sum is σ = 12488730624. Its totient is φ = 1439907840.

The previous prime is 4374164461. The next prime is 4374164497. The reversal of 4374164480 is 844614734.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34442177 + ... + 34442303.

Almost surely, 2^4374164480 is an apocalyptic number.

4374164480 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 4374164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244365312).

4374164480 is an abundant number, since it is smaller than the sum of its proper divisors (8114566144).

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

4374164480 is a wasteful number, since it uses less digits than its factorization.

4374164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The square root of 4374164480 is about 66137.4665375081. The cubic root of 4374164480 is about 1635.4290326058.

The spelling of 4374164480 in words is "four billion, three hundred seventy-four million, one hundred sixty-four thousand, four hundred eighty".