201195038133804 has 384 divisors, whose sum is σ = 567012990652416. Its totient is φ = 54708452352000.

The previous prime is 201195038133797. The next prime is 201195038133827. The reversal of 201195038133804 is 408331830591102.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23332367037 + ... + 23332375659.

It is an arithmetic number, because the mean of its divisors is an integer number (1476596329824).

Almost surely, 2^{201195038133804} 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 201195038133804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283506495326208).

201195038133804 is an abundant number, since it is smaller than the sum of its proper divisors (365817952518612).

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

201195038133804 is a wasteful number, since it uses less digits than its factorization.

201195038133804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9849 (or 9847 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 201195038133804 in words is "two hundred one trillion, one hundred ninety-five billion, thirty-eight million, one hundred thirty-three thousand, eight hundred four".