4158069440 has 336 divisors, whose sum is σ = 12852989280. Its totient is φ = 1269596160.

The previous prime is 4158069403. The next prime is 4158069451. The reversal of 4158069440 is 449608514.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5064230 + ... + 5065050.

Almost surely, 2^4158069440 is an apocalyptic number.

4158069440 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 4158069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426494640).

4158069440 is an abundant number, since it is smaller than the sum of its proper divisors (8694919840).

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

4158069440 is a wasteful number, since it uses less digits than its factorization.

4158069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 4158069440 is about 64483.0942185624. The cubic root of 4158069440 is about 1608.0414748013.

The spelling of 4158069440 in words is "four billion, one hundred fifty-eight million, sixty-nine thousand, four hundred forty".