201134144400 has 960 divisors, whose sum is σ = 816281088000. Its totient is φ = 41276252160.

The previous prime is 201134144359. The next prime is 201134144411. The reversal of 201134144400 is 4441431102.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 576315426 + ... + 576315774.

It is an arithmetic number, because the mean of its divisors is an integer number (850292800).

Almost surely, 2^201134144400 is an apocalyptic number.

201134144400 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 201134144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408140544000).

201134144400 is an abundant number, since it is smaller than the sum of its proper divisors (615146943600).

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

201134144400 is a wasteful number, since it uses less digits than its factorization.

201134144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201134144400 its reverse (4441431102), we get a palindrome (205575575502).

The spelling of 201134144400 in words is "two hundred one billion, one hundred thirty-four million, one hundred forty-four thousand, four hundred".