414438540925836 has 192 divisors, whose sum is σ = 1141747702824960. Its totient is φ = 114498158584320.

The previous prime is 414438540925813. The next prime is 414438540925837. The reversal of 414438540925836 is 638529045834414.

It is not an unprimeable number, because it can be changed into a prime (414438540925837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24812213461 + ... + 24812230163.

It is an arithmetic number, because the mean of its divisors is an integer number (5946602618880).

Almost surely, 2^{414438540925836} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414438540925836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570873851412480).

414438540925836 is an abundant number, since it is smaller than the sum of its proper divisors (727309161899124).

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

414438540925836 is a wasteful number, since it uses less digits than its factorization.

414438540925836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23924 (or 23922 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 66.

The spelling of 414438540925836 in words is "four hundred fourteen trillion, four hundred thirty-eight billion, five hundred forty million, nine hundred twenty-five thousand, eight hundred thirty-six".