40123100132104 has 256 divisors, whose sum is σ = 94146850022400. Its totient is φ = 15789634560000.

The previous prime is 40123100132083. The next prime is 40123100132113.

40123100132104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245814439 + ... + 245977609.

It is an arithmetic number, because the mean of its divisors is an integer number (367761132900).

Almost surely, 2^{40123100132104} is an apocalyptic number.

40123100132104 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 40123100132104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47073425011200).

40123100132104 is an abundant number, since it is smaller than the sum of its proper divisors (54023749890296).

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

40123100132104 is a wasteful number, since it uses less digits than its factorization.

40123100132104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163476 (or 163472 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 40123100 and 132104, that added together give a palindrome (40255204).

The spelling of 40123100132104 in words is "forty trillion, one hundred twenty-three billion, one hundred million, one hundred thirty-two thousand, one hundred four".