414863489703936 has 2688 divisors, whose sum is σ = 1475094325985280. Its totient is φ = 101361018470400.

The previous prime is 414863489703877. The next prime is 414863489703983. The reversal of 414863489703936 is 639307984368414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×414863489703936² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3806087061450 + ... + 3806087061558.

It is an arithmetic number, because the mean of its divisors is an integer number (548770210560).

Almost surely, 2^{414863489703936} 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 414863489703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737547162992640).

414863489703936 is an abundant number, since it is smaller than the sum of its proper divisors (1060230836281344).

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

414863489703936 is a wasteful number, since it uses less digits than its factorization.

414863489703936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 2257403904, while the sum is 75.

The spelling of 414863489703936 in words is "four hundred fourteen trillion, eight hundred sixty-three billion, four hundred eighty-nine million, seven hundred three thousand, nine hundred thirty-six".