201330961920 has 960 divisors, whose sum is σ = 816549237504. Its totient is φ = 45302415360.

The previous prime is 201330961879. The next prime is 201330961943. The reversal of 201330961920 is 29169033102.

It is a happy number.

201330961920 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 30 + 9 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 357603559 + ... + 357604121.

Almost surely, 2^201330961920 is an apocalyptic number.

201330961920 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 201330961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408274618752).

201330961920 is an abundant number, since it is smaller than the sum of its proper divisors (615218275584).

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

201330961920 is a wasteful number, since it uses less digits than its factorization.

201330961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 201330961920 in words is "two hundred one billion, three hundred thirty million, nine hundred sixty-one thousand, nine hundred twenty".