1238778887040 has 256 divisors, whose sum is σ = 4452828768000. Its totient is φ = 325410269184.

The previous prime is 1238778886999. The next prime is 1238778887041. The reversal of 1238778887040 is 407888778321.

1238778887040 is a `hidden beast` number, since 1 + 2 + 387 + 78 + 88 + 70 + 40 = 666.

It is a super-2 number, since 2×1238778887040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1238778887041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 622771 + ... + 1692749.

It is an arithmetic number, because the mean of its divisors is an integer number (17393862375).

Almost surely, 2^{1238778887040} is an apocalyptic number.

1238778887040 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 1238778887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226414384000).

1238778887040 is an abundant number, since it is smaller than the sum of its proper divisors (3214049880960).

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

1238778887040 is a wasteful number, since it uses less digits than its factorization.

1238778887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070074 (or 1070056 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 1238778887040 in words is "one trillion, two hundred thirty-eight billion, seven hundred seventy-eight million, eight hundred eighty-seven thousand, forty".