4314156480 has 168 divisors, whose sum is σ = 14992849872. Its totient is φ = 1138507776.

The previous prime is 4314156479. The next prime is 4314156527. The reversal of 4314156480 is 846514134.

4314156480 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 1 + 5 + 648 + 0 = 666.

It is a super-3 number, since 3×4314156480³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 271639 + ... + 287081.

It is an arithmetic number, because the mean of its divisors is an integer number (89243154).

Almost surely, 2^4314156480 is an apocalyptic number.

4314156480 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 4314156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496424936).

4314156480 is an abundant number, since it is smaller than the sum of its proper divisors (10678693392).

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

4314156480 is a wasteful number, since it uses less digits than its factorization.

4314156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15563 (or 15550 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4314156480 is about 65682.2386950993. The cubic root of 4314156480 is about 1627.9158981561.

The spelling of 4314156480 in words is "four billion, three hundred fourteen million, one hundred fifty-six thousand, four hundred eighty".