201239181830400 has 1728 divisors, whose sum is σ = 858107965575168. Its totient is φ = 40446071930880.

The previous prime is 201239181830381. The next prime is 201239181830431. The reversal of 201239181830400 is 4038181932102.

It is a super-3 number, since 3×201239181830400³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2259622672 + ... + 2259711728.

It is an arithmetic number, because the mean of its divisors is an integer number (496590257856).

Almost surely, 2^{201239181830400} is an apocalyptic number.

201239181830400 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 201239181830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429053982787584).

201239181830400 is an abundant number, since it is smaller than the sum of its proper divisors (656868783744768).

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

201239181830400 is a wasteful number, since it uses less digits than its factorization.

201239181830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89176 (or 89157 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 201239181830400 in words is "two hundred one trillion, two hundred thirty-nine billion, one hundred eighty-one million, eight hundred thirty thousand, four hundred".