4314661560 has 384 divisors, whose sum is σ = 15990004800. Its totient is φ = 1034035200.

The previous prime is 4314661553. The next prime is 4314661573. The reversal of 4314661560 is 651664134.

It is a happy number.

4314661560 is a `hidden beast` number, since 4 + 31 + 4 + 6 + 61 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 17903040 + ... + 17903280.

Almost surely, 2^4314661560 is an apocalyptic number.

4314661560 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 4314661560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995002400).

4314661560 is an abundant number, since it is smaller than the sum of its proper divisors (11675343240).

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

4314661560 is a wasteful number, since it uses less digits than its factorization.

4314661560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4314661560 is about 65686.0834576092. The cubic root of 4314661560 is about 1627.9794251113.

The spelling of 4314661560 in words is "four billion, three hundred fourteen million, six hundred sixty-one thousand, five hundred sixty".