4114549440 has 448 divisors, whose sum is σ = 15570403200. Its totient is φ = 1019215872.

The previous prime is 4114549433. The next prime is 4114549451. The reversal of 4114549440 is 449454114.

It is a happy number.

4114549440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4114549395 and 4114549404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16009792 + ... + 16010048.

Almost surely, 2^4114549440 is an apocalyptic number.

4114549440 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 4114549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7785201600).

4114549440 is an abundant number, since it is smaller than the sum of its proper divisors (11455853760).

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

4114549440 is a wasteful number, since it uses less digits than its factorization.

4114549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4114549440 is about 64144.7537995119. The cubic root of 4114549440 is about 1602.4116547910.

The spelling of 4114549440 in words is "four billion, one hundred fourteen million, five hundred forty-nine thousand, four hundred forty".