4112464440 has 128 divisors (see below), whose sum is σ = 14162112000. Its totient is φ = 935843328.

The previous prime is 4112464427. The next prime is 4112464453. The reversal of 4112464440 is 444642114.

It is an interprime number because it is at equal distance from previous prime (4112464427) and next prime (4112464453).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4112464398 and 4112464407.

It is a congruent number.

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, 181671 + ... + 203049.

It is an arithmetic number, because the mean of its divisors is an integer number (110641500).

Almost surely, 2^4112464440 is an apocalyptic number.

4112464440 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 4112464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081056000).

4112464440 is an abundant number, since it is smaller than the sum of its proper divisors (10049647560).

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

4112464440 is a wasteful number, since it uses less digits than its factorization.

4112464440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21629 (or 21625 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4112464440 is about 64128.4994366779. The cubic root of 4112464440 is about 1602.1409412455.

The spelling of 4112464440 in words is "four billion, one hundred twelve million, four hundred sixty-four thousand, four hundred forty".