414454020660 has 36 divisors (see below), whose sum is σ = 1257177196548. Its totient is φ = 110521072128.

The previous prime is 414454020619. The next prime is 414454020697. The reversal of 414454020660 is 66020454414.

414454020660 is a `hidden beast` number, since 4 + 1 + 445 + 4 + 0 + 206 + 6 + 0 = 666.

414454020660 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 329891707044 + 84562313616 = 574362^2 + 290796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1151260989 + ... + 1151261348.

It is an arithmetic number, because the mean of its divisors is an integer number (34921588793).

Almost surely, 2^414454020660 is an apocalyptic number.

It is an amenable number.

414454020660 is an abundant number, since it is smaller than the sum of its proper divisors (842723175888).

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

414454020660 is a wasteful number, since it uses less digits than its factorization.

414454020660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302522352 (or 2302522347 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 414454020660 in words is "four hundred fourteen billion, four hundred fifty-four million, twenty thousand, six hundred sixty".