3862414814040 has 256 divisors, whose sum is σ = 13251437568000. Its totient is φ = 1000267107840.

The previous prime is 3862414813997. The next prime is 3862414814081. The reversal of 3862414814040 is 404184142683.

3862414814040 is a `hidden beast` number, since 3 + 8 + 624 + 1 + 4 + 8 + 14 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×3862414814040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4833457 + ... + 5575583.

It is an arithmetic number, because the mean of its divisors is an integer number (51763428000).

Almost surely, 2^{3862414814040} is an apocalyptic number.

3862414814040 is a gapful number since it is divisible by the number (30) 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 3862414814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625718784000).

3862414814040 is an abundant number, since it is smaller than the sum of its proper divisors (9389022753960).

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

3862414814040 is a wasteful number, since it uses less digits than its factorization.

3862414814040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742287 (or 742277 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 3862414814040 in words is "three trillion, eight hundred sixty-two billion, four hundred fourteen million, eight hundred fourteen thousand, forty".