414063810048 has 160 divisors (see below), whose sum is σ = 1261269630720. Its totient is φ = 118248284160.

The previous prime is 414063810037. The next prime is 414063810091. The reversal of 414063810048 is 840018360414.

It is a junction number, because it is equal to n+sod(n) for n = 414063809988 and 414063810015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26431338 + ... + 26446998.

It is an arithmetic number, because the mean of its divisors is an integer number (7882935192).

Almost surely, 2^414063810048 is an apocalyptic number.

414063810048 is a gapful number since it is divisible by the number (48) 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 414063810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630634815360).

414063810048 is an abundant number, since it is smaller than the sum of its proper divisors (847205820672).

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

414063810048 is a wasteful number, since it uses less digits than its factorization.

414063810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18148 (or 18132 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 414063810048 in words is "four hundred fourteen billion, sixty-three million, eight hundred ten thousand, forty-eight".