414604641096 has 80 divisors (see below), whose sum is σ = 1161703709100. Its totient is φ = 138150752256.

The previous prime is 414604641053. The next prime is 414604641097. The reversal of 414604641096 is 690146406414.

414604641096 is a `hidden beast` number, since 4 + 146 + 0 + 4 + 6 + 410 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 392940922500 + 21663718596 = 626850^2 + 147186^2 .

It is not an unprimeable number, because it can be changed into a prime (414604641097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1667740 + ... + 1900148.

Almost surely, 2^414604641096 is an apocalyptic number.

It is an amenable number.

414604641096 is an abundant number, since it is smaller than the sum of its proper divisors (747099068004).

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

414604641096 is a wasteful number, since it uses less digits than its factorization.

414604641096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235180 (or 235167 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 414604641096 in words is "four hundred fourteen billion, six hundred four million, six hundred forty-one thousand, ninety-six".