1538936340480 has 1632 divisors, whose sum is σ = 6925179276288. Its totient is φ = 318504960000.

The previous prime is 1538936340379. The next prime is 1538936340499. The reversal of 1538936340480 is 840436398351.

1538936340480 is a `hidden beast` number, since 1 + 5 + 38 + 93 + 6 + 3 + 40 + 480 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6131220355 + ... + 6131220605.

Almost surely, 2^{1538936340480} is an apocalyptic number.

1538936340480 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 1538936340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462589638144).

1538936340480 is an abundant number, since it is smaller than the sum of its proper divisors (5386242935808).

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

1538936340480 is an frugal number, since it uses more digits than its factorization.

1538936340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 1538936340480 in words is "one trillion, five hundred thirty-eight billion, nine hundred thirty-six million, three hundred forty thousand, four hundred eighty".