415633342641 has 64 divisors (see below), whose sum is σ = 646652160000. Its totient is φ = 235060851200.

The previous prime is 415633342633. The next prime is 415633342651. The reversal of 415633342641 is 146243336514.

It is a cyclic number.

It is not a de Polignac number, because 415633342641 - 2³ = 415633342633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 415633342593 and 415633342602.

It is not an unprimeable number, because it can be changed into a prime (415633342651) 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, 4148860 + ... + 4247858.

It is an arithmetic number, because the mean of its divisors is an integer number (10103940000).

Almost surely, 2^415633342641 is an apocalyptic number.

415633342641 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

415633342641 is a deficient number, since it is larger than the sum of its proper divisors (231018817359).

415633342641 is a wasteful number, since it uses less digits than its factorization.

415633342641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99190.

The product of its digits is 622080, while the sum is 42.

The spelling of 415633342641 in words is "four hundred fifteen billion, six hundred thirty-three million, three hundred forty-two thousand, six hundred forty-one".