40123033032104 has 128 divisors (see below), whose sum is σ = 88645462214400. Its totient is φ = 16832922839040.

The previous prime is 40123033032091. The next prime is 40123033032149.

40123033032104 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95876564 + ... + 96294140.

It is an arithmetic number, because the mean of its divisors is an integer number (692542673550).

Almost surely, 2^{40123033032104} is an apocalyptic number.

40123033032104 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 40123033032104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44322731107200).

40123033032104 is an abundant number, since it is smaller than the sum of its proper divisors (48522429182296).

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

40123033032104 is a wasteful number, since it uses less digits than its factorization.

40123033032104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419283 (or 419279 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 4012303 and 3032104, that added together give a palindrome (7044407).

The spelling of 40123033032104 in words is "forty trillion, one hundred twenty-three billion, thirty-three million, thirty-two thousand, one hundred four".