1201401143440 has 80 divisors (see below), whose sum is σ = 2812188352176. Its totient is φ = 477309081600.

The previous prime is 1201401143419. The next prime is 1201401143443. The reversal of 1201401143440 is 443411041021.

It can be written as a sum of positive squares in 8 ways, for example, as 23707376784 + 1177693766656 = 153972^2 + 1085216^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1201401143443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14088130 + ... + 14173150.

Almost surely, 2^{1201401143440} is an apocalyptic number.

1201401143440 is a gapful number since it is divisible by the number (10) 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 1201401143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406094176088).

1201401143440 is an abundant number, since it is smaller than the sum of its proper divisors (1610787208736).

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

1201401143440 is a wasteful number, since it uses less digits than its factorization.

1201401143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86228 (or 86222 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 1201401143440 its reverse (443411041021), we get a palindrome (1644812184461).

The spelling of 1201401143440 in words is "one trillion, two hundred one billion, four hundred one million, one hundred forty-three thousand, four hundred forty".