1338761027520 has 1008 divisors, whose sum is σ = 5546023561728. Its totient is φ = 301457479680.

The previous prime is 1338761027447. The next prime is 1338761027557. The reversal of 1338761027520 is 257201678331.

1338761027520 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 7 + 610 + 2 + 7 + 5 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1043460799 + ... + 1043462081.

Almost surely, 2^{1338761027520} is an apocalyptic number.

1338761027520 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 1338761027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773011780864).

1338761027520 is an abundant number, since it is smaller than the sum of its proper divisors (4207262534208).

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

1338761027520 is an frugal number, since it uses more digits than its factorization.

1338761027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1338761027520 in words is "one trillion, three hundred thirty-eight billion, seven hundred sixty-one million, twenty-seven thousand, five hundred twenty".