1138378587840 has 560 divisors, whose sum is σ = 4443257161728. Its totient is φ = 274924855296.

The previous prime is 1138378587811. The next prime is 1138378587847. The reversal of 1138378587840 is 487858738311.

1138378587840 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 7 + 8 + 587 + 8 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (1138378587847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17827009 + ... + 17890751.

Almost surely, 2^{1138378587840} is an apocalyptic number.

1138378587840 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 1138378587840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221628580864).

1138378587840 is an abundant number, since it is smaller than the sum of its proper divisors (3304878573888).

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

1138378587840 is a wasteful number, since it uses less digits than its factorization.

1138378587840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63838 (or 63819 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 1138378587840 in words is "one trillion, one hundred thirty-eight billion, three hundred seventy-eight million, five hundred eighty-seven thousand, eight hundred forty".