201072326400 has 1080 divisors, whose sum is σ = 833837037264. Its totient is φ = 47377612800.

The previous prime is 201072326393. The next prime is 201072326407. The reversal of 201072326400 is 4623270102.

201072326400 is a `hidden beast` number, since 2 + 0 + 10 + 7 + 2 + 3 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201072326393) and next prime (201072326407).

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201072326407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210988324 + ... + 210989276.

Almost surely, 2^201072326400 is an apocalyptic number.

201072326400 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 201072326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416918518632).

201072326400 is an abundant number, since it is smaller than the sum of its proper divisors (632764710864).

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

201072326400 is a wasteful number, since it uses less digits than its factorization.

201072326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 201072326400 its reverse (4623270102), we get a palindrome (205695596502).

The spelling of 201072326400 in words is "two hundred one billion, seventy-two million, three hundred twenty-six thousand, four hundred".