1138622400 has 168 divisors, whose sum is σ = 4150857840. Its totient is φ = 303621120.

The previous prime is 1138622399. The next prime is 1138622431. The reversal of 1138622400 is 42268311.

1138622400 is a `hidden beast` number, since 1 + 1 + 38 + 622 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 30022 + ... + 56378.

Almost surely, 2^1138622400 is an apocalyptic number.

1138622400 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 1138622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075428920).

1138622400 is an abundant number, since it is smaller than the sum of its proper divisors (3012235440).

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

1138622400 is a wasteful number, since it uses less digits than its factorization.

1138622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26388 (or 26367 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1138622400 is about 33743.4793700946. The cubic root of 1138622400 is about 1044.2229673068. Note that the first 3 decimals are identical.

The spelling of 1138622400 in words is "one billion, one hundred thirty-eight million, six hundred twenty-two thousand, four hundred".