1138876984440 has 384 divisors, whose sum is σ = 4166778470400. Its totient is φ = 267858938880.

The previous prime is 1138876984429. The next prime is 1138876984459. The reversal of 1138876984440 is 444896788311.

1138876984440 is a `hidden beast` number, since 1 + 1 + 38 + 8 + 76 + 98 + 4 + 440 = 666.

It is a super-3 number, since 3×1138876984440³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 11411637 + ... + 11511003.

It is an arithmetic number, because the mean of its divisors is an integer number (10850985600).

Almost surely, 2^{1138876984440} is an apocalyptic number.

1138876984440 is a gapful number since it is divisible by the number (10) 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 1138876984440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083389235200).

1138876984440 is an abundant number, since it is smaller than the sum of its proper divisors (3027901485960).

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

1138876984440 is a wasteful number, since it uses less digits than its factorization.

1138876984440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99507 (or 99500 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 1138876984440 in words is "one trillion, one hundred thirty-eight billion, eight hundred seventy-six million, nine hundred eighty-four thousand, four hundred forty".