4122518999040 has 2496 divisors, whose sum is σ = 17585744117760. Its totient is φ = 882895749120.

The previous prime is 4122518999033. The next prime is 4122518999051. The reversal of 4122518999040 is 409998152214.

4122518999040 is a `hidden beast` number, since 412 + 2 + 5 + 18 + 99 + 90 + 40 = 666.

4122518999040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32460779457 + ... + 32460779583.

It is an arithmetic number, because the mean of its divisors is an integer number (7045570560).

Almost surely, 2^{4122518999040} is an apocalyptic number.

4122518999040 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 4122518999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8792872058880).

4122518999040 is an abundant number, since it is smaller than the sum of its proper divisors (13463225118720).

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

4122518999040 is a wasteful number, since it uses less digits than its factorization.

4122518999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

It can be divided in two parts, 412251 and 8999040, that added together give a triangular number (9411291 = T₄₃₃₈).

The spelling of 4122518999040 in words is "four trillion, one hundred twenty-two billion, five hundred eighteen million, nine hundred ninety-nine thousand, forty".