201388430520 has 320 divisors, whose sum is σ = 719075412000. Its totient is φ = 50408635392.

The previous prime is 201388430513. The next prime is 201388430561. The reversal of 201388430520 is 25034883102.

201388430520 is a `hidden beast` number, since 2 + 0 + 13 + 88 + 43 + 0 + 520 = 666.

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 79 ways as a sum of consecutive naturals, for example, 6695034 + ... + 6725046.

Almost surely, 2^201388430520 is an apocalyptic number.

201388430520 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 201388430520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359537706000).

201388430520 is an abundant number, since it is smaller than the sum of its proper divisors (517686981480).

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

201388430520 is a wasteful number, since it uses less digits than its factorization.

201388430520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30164 (or 30151 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 201388430520 in words is "two hundred one billion, three hundred eighty-eight million, four hundred thirty thousand, five hundred twenty".