40103727124824 has 192 divisors, whose sum is σ = 118655881344000. Its totient is φ = 12135463464960.

The previous prime is 40103727124771. The next prime is 40103727124847. The reversal of 40103727124824 is 42842172730104.

40103727124824 is a `hidden beast` number, since 4 + 0 + 10 + 372 + 7 + 1 + 248 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40103727124824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3539911992 + ... + 3539923320.

It is an arithmetic number, because the mean of its divisors is an integer number (617999382000).

Almost surely, 2^{40103727124824} is an apocalyptic number.

40103727124824 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 40103727124824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59327940672000).

40103727124824 is an abundant number, since it is smaller than the sum of its proper divisors (78552154219176).

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

40103727124824 is a wasteful number, since it uses less digits than its factorization.

40103727124824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17278 (or 17271 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

Adding to 40103727124824 its reverse (42842172730104), we get a palindrome (82945899854928).

The spelling of 40103727124824 in words is "forty trillion, one hundred three billion, seven hundred twenty-seven million, one hundred twenty-four thousand, eight hundred twenty-four".