1438442040600 has 216 divisors, whose sum is σ = 4935750648660. Its totient is φ = 375422133120.

The previous prime is 1438442040589. The next prime is 1438442040613. The reversal of 1438442040600 is 60402448341.

1438442040600 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 4 + 4 + 2 + 0 + 40 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3795319 + ... + 4157081.

Almost surely, 2^{1438442040600} is an apocalyptic number.

1438442040600 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 1438442040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467875324330).

1438442040600 is an abundant number, since it is smaller than the sum of its proper divisors (3497308608060).

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

1438442040600 is a wasteful number, since it uses less digits than its factorization.

1438442040600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361879 (or 361820 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 1438442040600 its reverse (60402448341), we get a palindrome (1498844488941).

The spelling of 1438442040600 in words is "one trillion, four hundred thirty-eight billion, four hundred forty-two million, forty thousand, six hundred".