201142334400 has 840 divisors, whose sum is σ = 796099951104. Its totient is φ = 44413286400.

The previous prime is 201142334387. The next prime is 201142334411. The reversal of 201142334400 is 4433241102.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 357268519 + ... + 357269081.

Almost surely, 2^201142334400 is an apocalyptic number.

201142334400 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 201142334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398049975552).

201142334400 is an abundant number, since it is smaller than the sum of its proper divisors (594957616704).

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

201142334400 is an equidigital number, since it uses as much as digits as its factorization.

201142334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 201142334400 its reverse (4433241102), we get a palindrome (205575575502).

The spelling of 201142334400 in words is "two hundred one billion, one hundred forty-two million, three hundred thirty-four thousand, four hundred".