1138399554240 has 672 divisors, whose sum is σ = 4383410705856. Its totient is φ = 269335756800.

The previous prime is 1138399554221. The next prime is 1138399554251. The reversal of 1138399554240 is 424559938311.

1138399554240 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 9 + 95 + 542 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 114973290 + ... + 114983190.

It is an arithmetic number, because the mean of its divisors is an integer number (6522932598).

Almost surely, 2^{1138399554240} is an apocalyptic number.

1138399554240 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 1138399554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191705352928).

1138399554240 is an abundant number, since it is smaller than the sum of its proper divisors (3245011151616).

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

1138399554240 is a wasteful number, since it uses less digits than its factorization.

1138399554240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10057 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1138399554240 in words is "one trillion, one hundred thirty-eight billion, three hundred ninety-nine million, five hundred fifty-four thousand, two hundred forty".