131202210400440 has 192 divisors, whose sum is σ = 415491864163200. Its totient is φ = 33139536424704.

The previous prime is 131202210400423. The next prime is 131202210400507. The reversal of 131202210400440 is 44004012202131.

It is a super-2 number, since 2×131202210400440² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131202210400440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230307871 + ... + 230876849.

It is an arithmetic number, because the mean of its divisors is an integer number (2164020125850).

Almost surely, 2^{131202210400440} is an apocalyptic number.

131202210400440 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 131202210400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207745932081600).

131202210400440 is an abundant number, since it is smaller than the sum of its proper divisors (284289653762760).

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

131202210400440 is a wasteful number, since it uses less digits than its factorization.

131202210400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574354 (or 574331 counting only the distinct ones).

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

Adding to 131202210400440 its reverse (44004012202131), we get a palindrome (175206222602571).

The spelling of 131202210400440 in words is "one hundred thirty-one trillion, two hundred two billion, two hundred ten million, four hundred thousand, four hundred forty".