40723432843104 has 216 divisors, whose sum is σ = 127311451577856. Its totient is φ = 12338575603200.

The previous prime is 40723432843099. The next prime is 40723432843127. The reversal of 40723432843104 is 40134823432704.

40723432843104 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 3 + 4 + 328 + 4 + 310 + 4 = 666.

40723432843104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 40723432843104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 240749982 + ... + 240919074.

It is an arithmetic number, because the mean of its divisors is an integer number (589404868416).

Almost surely, 2^{40723432843104} is an apocalyptic number.

40723432843104 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 40723432843104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63655725788928).

40723432843104 is an abundant number, since it is smaller than the sum of its proper divisors (86588018734752).

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

40723432843104 is a wasteful number, since it uses less digits than its factorization.

40723432843104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176042 (or 176020 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 40723432843104 in words is "forty trillion, seven hundred twenty-three billion, four hundred thirty-two million, eight hundred forty-three thousand, one hundred four".