40114211241104 has 160 divisors (see below), whose sum is σ = 104613301820160. Its totient is φ = 14390710272000.

The previous prime is 40114211241103. The next prime is 40114211241113.

40114211241104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (40114211241103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3299432 + ... + 9545400.

It is an arithmetic number, because the mean of its divisors is an integer number (653833136376).

Almost surely, 2^{40114211241104} is an apocalyptic number.

40114211241104 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 40114211241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52306650910080).

40114211241104 is an abundant number, since it is smaller than the sum of its proper divisors (64499090579056).

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

40114211241104 is a wasteful number, since it uses less digits than its factorization.

40114211241104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6246409 (or 6246403 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 4011421 and 1241104, that added together give a palindrome (5252525).

The spelling of 40114211241104 in words is "forty trillion, one hundred fourteen billion, two hundred eleven million, two hundred forty-one thousand, one hundred four".