201143140554400 has 144 divisors (see below), whose sum is σ = 540881541240768. Its totient is φ = 72432834048000.

The previous prime is 201143140554329. The next prime is 201143140554449. The reversal of 201143140554400 is 4455041341102.

It is a happy number.

It is a super-2 number, since 2×201143140554400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110050761 + ... + 111863560.

It is an arithmetic number, because the mean of its divisors is an integer number (3756121814172).

Almost surely, 2^{201143140554400} is an apocalyptic number.

201143140554400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201143140554400 is an abundant number, since it is smaller than the sum of its proper divisors (339738400686368).

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

201143140554400 is a wasteful number, since it uses less digits than its factorization.

201143140554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221914455 (or 221914442 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 201143140554400 its reverse (4455041341102), we get a palindrome (205598181895502).

The spelling of 201143140554400 in words is "two hundred one trillion, one hundred forty-three billion, one hundred forty million, five hundred fifty-four thousand, four hundred".