4114358040 has 256 divisors, whose sum is σ = 14115225600. Its totient is φ = 951035904.

The previous prime is 4114358029. The next prime is 4114358047. The reversal of 4114358040 is 408534114.

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 = 4114357989 and 4114358007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114358047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3763734 + ... + 3764826.

It is an arithmetic number, because the mean of its divisors is an integer number (55137600).

Almost surely, 2^4114358040 is an apocalyptic number.

4114358040 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 4114358040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057612800).

4114358040 is an abundant number, since it is smaller than the sum of its proper divisors (10000867560).

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

4114358040 is a wasteful number, since it uses less digits than its factorization.

4114358040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 4114358040 is about 64143.2618440940. The cubic root of 4114358040 is about 1602.3868074899.

The spelling of 4114358040 in words is "four billion, one hundred fourteen million, three hundred fifty-eight thousand, forty".