4359156480 has 576 divisors, whose sum is σ = 18193889280. Its totient is φ = 967458816.

The previous prime is 4359156401. The next prime is 4359156493. The reversal of 4359156480 is 846519534.

4359156480 is a `hidden beast` number, since 4 + 3 + 5 + 9 + 1 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×4359156480³ (a number of 30 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8950797 + ... + 8951283.

Almost surely, 2^4359156480 is an apocalyptic number.

4359156480 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 4359156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096944640).

4359156480 is an abundant number, since it is smaller than the sum of its proper divisors (13834732800).

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

4359156480 is a wasteful number, since it uses less digits than its factorization.

4359156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4359156480 is about 66023.9083968830. The cubic root of 4359156480 is about 1633.5564735632.

The spelling of 4359156480 in words is "four billion, three hundred fifty-nine million, one hundred fifty-six thousand, four hundred eighty".