40313242131444 has 144 divisors (see below), whose sum is σ = 108015957504000. Its totient is φ = 12654646018560.

The previous prime is 40313242131341. The next prime is 40313242131517. The reversal of 40313242131444 is 44413124231304.

40313242131444 is a `hidden beast` number, since 4 + 0 + 313 + 2 + 4 + 21 + 314 + 4 + 4 = 666.

It is a super-2 number, since 2×40313242131444² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40313242131399 and 40313242131408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167628717 + ... + 167869035.

It is an arithmetic number, because the mean of its divisors is an integer number (750110816000).

Almost surely, 2^{40313242131444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40313242131444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54007978752000).

40313242131444 is an abundant number, since it is smaller than the sum of its proper divisors (67702715372556).

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

40313242131444 is a wasteful number, since it uses less digits than its factorization.

40313242131444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244318 (or 244313 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 40313242131444 its reverse (44413124231304), we get a palindrome (84726366362748).

The spelling of 40313242131444 in words is "forty trillion, three hundred thirteen billion, two hundred forty-two million, one hundred thirty-one thousand, four hundred forty-four".