1438302629952 has 560 divisors, whose sum is σ = 4632641544960. Its totient is φ = 441322463232.

The previous prime is 1438302629921. The next prime is 1438302630007. The reversal of 1438302629952 is 2599262038341.

1438302629952 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 3 + 0 + 2 + 629 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1006509174 + ... + 1006510602.

Almost surely, 2^{1438302629952} is an apocalyptic number.

1438302629952 is a gapful number since it is divisible by the number (12) 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 1438302629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316320772480).

1438302629952 is an abundant number, since it is smaller than the sum of its proper divisors (3194338915008).

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

1438302629952 is an frugal number, since it uses more digits than its factorization.

1438302629952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1438302629952 in words is "one trillion, four hundred thirty-eight billion, three hundred two million, six hundred twenty-nine thousand, nine hundred fifty-two".