1438133400 has 576 divisors, whose sum is σ = 5699635200. Its totient is φ = 332640000.

The previous prime is 1438133381. The next prime is 1438133407. The reversal of 1438133400 is 43318341.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1438133407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20255365 + ... + 20255435.

It is an arithmetic number, because the mean of its divisors is an integer number (9895200).

Almost surely, 2^1438133400 is an apocalyptic number.

1438133400 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 1438133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849817600).

1438133400 is an abundant number, since it is smaller than the sum of its proper divisors (4261501800).

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

1438133400 is a wasteful number, since it uses less digits than its factorization.

1438133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1438133400 is about 37922.7293321565. The cubic root of 1438133400 is about 1128.7550964991.

The spelling of 1438133400 in words is "one billion, four hundred thirty-eight million, one hundred thirty-three thousand, four hundred".