201005914432 has 112 divisors (see below), whose sum is σ = 418698346752. Its totient is φ = 95561523200.

The previous prime is 201005914411. The next prime is 201005914453. The reversal of 201005914432 is 234419500102.

It is an interprime number because it is at equal distance from previous prime (201005914411) and next prime (201005914453).

It is a junction number, because it is equal to n+sod(n) for n = 201005914394 and 201005914403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296906478 + ... + 296907154.

It is an arithmetic number, because the mean of its divisors is an integer number (3738378096).

Almost surely, 2^201005914432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201005914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209349173376).

201005914432 is an abundant number, since it is smaller than the sum of its proper divisors (217692432320).

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

201005914432 is a wasteful number, since it uses less digits than its factorization.

201005914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 201005914432 in words is "two hundred one billion, five million, nine hundred fourteen thousand, four hundred thirty-two".