40141031431680 has 1920 divisors, whose sum is σ = 161379471052800. Its totient is φ = 9510048497664.

The previous prime is 40141031431639. The next prime is 40141031431687. The reversal of 40141031431680 is 8613413014104.

40141031431680 is a `hidden beast` number, since 4 + 0 + 14 + 10 + 314 + 316 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×40141031431680² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (40141031431687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19215428076 + ... + 19215430164.

It is an arithmetic number, because the mean of its divisors is an integer number (84051807840).

Almost surely, 2^{40141031431680} is an apocalyptic number.

40141031431680 is a gapful number since it is divisible by the number (40) 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 40141031431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80689735526400).

40141031431680 is an abundant number, since it is smaller than the sum of its proper divisors (121238439621120).

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

40141031431680 is a wasteful number, since it uses less digits than its factorization.

40141031431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 40141031431680 its reverse (8613413014104), we get a palindrome (48754444445784).

The spelling of 40141031431680 in words is "forty trillion, one hundred forty-one billion, thirty-one million, four hundred thirty-one thousand, six hundred eighty".