131021407440 has 1600 divisors, whose sum is σ = 599015374848. Its totient is φ = 25754112000.

The previous prime is 131021407411. The next prime is 131021407441. The reversal of 131021407440 is 44704120131.

131021407440 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 214 + 0 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131021407441) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 867691365 + ... + 867691515.

Almost surely, 2^131021407440 is an apocalyptic number.

131021407440 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 131021407440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299507687424).

131021407440 is an abundant number, since it is smaller than the sum of its proper divisors (467993967408).

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

131021407440 is a wasteful number, since it uses less digits than its factorization.

131021407440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 131021407440 its reverse (44704120131), we get a palindrome (175725527571).

The spelling of 131021407440 in words is "one hundred thirty-one billion, twenty-one million, four hundred seven thousand, four hundred forty".