40041211214004 has 288 divisors, whose sum is σ = 129482245896192. Its totient is φ = 9465073632000.

The previous prime is 40041211214003. The next prime is 40041211214029.

40041211214004 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40041211214003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2616409 + ... + 9323519.

It is an arithmetic number, because the mean of its divisors is an integer number (449591131584).

Almost surely, 2^{40041211214004} is an apocalyptic number.

40041211214004 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 40041211214004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64741122948096).

40041211214004 is an abundant number, since it is smaller than the sum of its proper divisors (89441034682188).

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

40041211214004 is a wasteful number, since it uses less digits than its factorization.

40041211214004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707227 (or 6707218 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4004121 and 1214004, that added together give a palindrome (5218125).

The spelling of 40041211214004 in words is "forty trillion, forty-one billion, two hundred eleven million, two hundred fourteen thousand, four".