4111249415040 has 768 divisors, whose sum is σ = 15271844328000. Its totient is φ = 1015956504576.

The previous prime is 4111249415029. The next prime is 4111249415071. The reversal of 4111249415040 is 405149421114.

4111249415040 is a `hidden beast` number, since 4 + 1 + 1 + 12 + 494 + 150 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4111249414986 and 4111249415004.

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 95 ways as a sum of consecutive naturals, for example, 2372330014 + ... + 2372331746.

Almost surely, 2^{4111249415040} is an apocalyptic number.

4111249415040 is a gapful number since it is divisible by the number (40) 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 4111249415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7635922164000).

4111249415040 is an abundant number, since it is smaller than the sum of its proper divisors (11160594912960).

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

4111249415040 is a wasteful number, since it uses less digits than its factorization.

4111249415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 4111249415040 in words is "four trillion, one hundred eleven billion, two hundred forty-nine million, four hundred fifteen thousand, forty".