201040093800 has 768 divisors, whose sum is σ = 854945280000. Its totient is φ = 42284436480.

The previous prime is 201040093777. The next prime is 201040093831. The reversal of 201040093800 is 8390040102.

It is a super-2 number, since 2×201040093800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 294348259 + ... + 294348941.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210000).

Almost surely, 2^201040093800 is an apocalyptic number.

201040093800 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 201040093800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640000).

201040093800 is an abundant number, since it is smaller than the sum of its proper divisors (653905186200).

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

201040093800 is a wasteful number, since it uses less digits than its factorization.

201040093800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 201040093800 in words is "two hundred one billion, forty million, ninety-three thousand, eight hundred".