201256691840 has 128 divisors (see below), whose sum is σ = 484733376000. Its totient is φ = 79901724672.

The previous prime is 201256691821. The next prime is 201256691843. The reversal of 201256691840 is 48196652102.

201256691840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 201256691791 and 201256691800.

It is not an unprimeable number, because it can be changed into a prime (201256691843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58965974 + ... + 58969386.

It is an arithmetic number, because the mean of its divisors is an integer number (3786979500).

Almost surely, 2^201256691840 is an apocalyptic number.

201256691840 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 201256691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242366688000).

201256691840 is an abundant number, since it is smaller than the sum of its proper divisors (283476684160).

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

201256691840 is a wasteful number, since it uses less digits than its factorization.

201256691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 201256691840 in words is "two hundred one billion, two hundred fifty-six million, six hundred ninety-one thousand, eight hundred forty".