4113469440 has 416 divisors, whose sum is σ = 15050471040. Its totient is φ = 1065222144.

The previous prime is 4113469411. The next prime is 4113469463. The reversal of 4113469440 is 449643114.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4113469395 and 4113469404.

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, 23777194 + ... + 23777366.

Almost surely, 2^4113469440 is an apocalyptic number.

4113469440 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 4113469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7525235520).

4113469440 is an abundant number, since it is smaller than the sum of its proper divisors (10937001600).

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

4113469440 is a wasteful number, since it uses less digits than its factorization.

4113469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4113469440 is about 64136.3347877005. The cubic root of 4113469440 is about 1602.2714404895.

The spelling of 4113469440 in words is "four billion, one hundred thirteen million, four hundred sixty-nine thousand, four hundred forty".