4314123072 has 168 divisors, whose sum is σ = 14753661120. Its totient is φ = 1232582400.

The previous prime is 4314123061. The next prime is 4314123083. The reversal of 4314123072 is 2703214134.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4314123061) and next prime (4314123083).

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×4314123072² = 37223315760725434368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 59197 + ... + 110147.

Almost surely, 2^4314123072 is an apocalyptic number.

4314123072 is a gapful number since it is divisible by the number (42) 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 4314123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7376830560).

4314123072 is an abundant number, since it is smaller than the sum of its proper divisors (10439538048).

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

4314123072 is a wasteful number, since it uses less digits than its factorization.

4314123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50986 (or 50963 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4314123072 is about 65681.9843792801. The cubic root of 4314123072 is about 1627.9116960558.

The spelling of 4314123072 in words is "four billion, three hundred fourteen million, one hundred twenty-three thousand, seventy-two".