40141444414104 has 192 divisors, whose sum is σ = 119791567284480. Its totient is φ = 12041868960000.

The previous prime is 40141444414087. The next prime is 40141444414109.

40141444414104 is a `hidden beast` number, since 401 + 4 + 144 + 4 + 4 + 1 + 4 + 104 = 666.

40141444414104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40141444414104² (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 (40141444414109) 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 47 ways as a sum of consecutive naturals, for example, 607186219 + ... + 607252325.

It is an arithmetic number, because the mean of its divisors is an integer number (623914412940).

Almost surely, 2^{40141444414104} is an apocalyptic number.

40141444414104 is a gapful number since it is divisible by the number (44) 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 40141444414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59895783642240).

40141444414104 is an abundant number, since it is smaller than the sum of its proper divisors (79650122870376).

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

40141444414104 is a wasteful number, since it uses less digits than its factorization.

40141444414104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73822 (or 73815 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

It can be divided in two parts, 4014144 and 4414104, that added together give a palindrome (8428248).

The spelling of 40141444414104 in words is "forty trillion, one hundred forty-one billion, four hundred forty-four million, four hundred fourteen thousand, one hundred four".