2438954119440 has 240 divisors, whose sum is σ = 8393302794240. Its totient is φ = 634320046080.

The previous prime is 2438954119361. The next prime is 2438954119451. The reversal of 2438954119440 is 449114598342.

2438954119440 is a `hidden beast` number, since 2 + 4 + 3 + 8 + 9 + 541 + 1 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 105758631 + ... + 105781689.

It is an arithmetic number, because the mean of its divisors is an integer number (34972094976).

Almost surely, 2^{2438954119440} is an apocalyptic number.

2438954119440 is a gapful number since it is divisible by the number (20) 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 2438954119440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196651397120).

2438954119440 is an abundant number, since it is smaller than the sum of its proper divisors (5954348674800).

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

2438954119440 is a wasteful number, since it uses less digits than its factorization.

2438954119440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26702 (or 26693 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2438954119440 in words is "two trillion, four hundred thirty-eight billion, nine hundred fifty-four million, one hundred nineteen thousand, four hundred forty".