4114345320 has 128 divisors (see below), whose sum is σ = 13805856000. Its totient is φ = 1089849600.

The previous prime is 4114345303. The next prime is 4114345349. The reversal of 4114345320 is 235434114.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150466 + ... + 175694.

It is an arithmetic number, because the mean of its divisors is an integer number (107858250).

Almost surely, 2^4114345320 is an apocalyptic number.

4114345320 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 4114345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6902928000).

4114345320 is an abundant number, since it is smaller than the sum of its proper divisors (9691510680).

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

4114345320 is a wasteful number, since it uses less digits than its factorization.

4114345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25400 (or 25390 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4114345320 is about 64143.1626909681. The cubic root of 4114345320 is about 1602.3851561686.

Adding to 4114345320 its reverse (235434114), we get a palindrome (4349779434).

The spelling of 4114345320 in words is "four billion, one hundred fourteen million, three hundred forty-five thousand, three hundred twenty".