1138483382400 has 2688 divisors, whose sum is σ = 5388145136640. Its totient is φ = 231115161600.

The previous prime is 1138483382389. The next prime is 1138483382417. The reversal of 1138483382400 is 42833848311.

1138483382400 is a `hidden beast` number, since 1 + 1 + 38 + 48 + 338 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×1138483382400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 6580828714 + ... + 6580828886.

It is an arithmetic number, because the mean of its divisors is an integer number (2004518280).

Almost surely, 2^{1138483382400} is an apocalyptic number.

1138483382400 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 1138483382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694072568320).

1138483382400 is an abundant number, since it is smaller than the sum of its proper divisors (4249661754240).

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

1138483382400 is a wasteful number, since it uses less digits than its factorization.

1138483382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1138483382400 in words is "one trillion, one hundred thirty-eight billion, four hundred eighty-three million, three hundred eighty-two thousand, four hundred".