201662414460 has 144 divisors (see below), whose sum is σ = 659765564640. Its totient is φ = 49564500480.

The previous prime is 201662414441. The next prime is 201662414497. The reversal of 201662414460 is 64414266102.

201662414460 is a `hidden beast` number, since 2 + 0 + 16 + 624 + 14 + 4 + 6 + 0 = 666.

It is a super-4 number, since 4×201662414460⁴ (a number of 46 digits) contains 4444 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1481551 + ... + 1611929.

It is an arithmetic number, because the mean of its divisors is an integer number (4581705310).

Almost surely, 2^201662414460 is an apocalyptic number.

201662414460 is a gapful number since it is divisible by the number (20) 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 201662414460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329882782320).

201662414460 is an abundant number, since it is smaller than the sum of its proper divisors (458103150180).

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

201662414460 is a wasteful number, since it uses less digits than its factorization.

201662414460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131068 (or 131063 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 201662414460 in words is "two hundred one billion, six hundred sixty-two million, four hundred fourteen thousand, four hundred sixty".