201965073408 has 880 divisors, whose sum is σ = 729190528000. Its totient is φ = 55599022080.

The previous prime is 201965073407. The next prime is 201965073413. The reversal of 201965073408 is 804370569102.

201965073408 is a `hidden beast` number, since 2 + 0 + 196 + 50 + 7 + 3 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201965073407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 881943438 + ... + 881943666.

It is an arithmetic number, because the mean of its divisors is an integer number (828625600).

It is a 1-persistent number, because it is pandigital, but 2⋅201965073408 = 403930146816 is not.

Almost surely, 2^201965073408 is an apocalyptic number.

201965073408 is a gapful number since it is divisible by the number (28) 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 201965073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364595264000).

201965073408 is an abundant number, since it is smaller than the sum of its proper divisors (527225454592).

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

201965073408 is an equidigital number, since it uses as much as digits as its factorization.

201965073408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 201965073408 in words is "two hundred one billion, nine hundred sixty-five million, seventy-three thousand, four hundred eight".