1338272615680 has 1152 divisors, whose sum is σ = 4471722049536. Its totient is φ = 370350489600.

The previous prime is 1338272615663. The next prime is 1338272615689. The reversal of 1338272615680 is 865162728331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338272615689) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4275631204 + ... + 4275631516.

It is an arithmetic number, because the mean of its divisors is an integer number (3881703168).

Almost surely, 2^{1338272615680} is an apocalyptic number.

1338272615680 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 1338272615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235861024768).

1338272615680 is an abundant number, since it is smaller than the sum of its proper divisors (3133449433856).

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

1338272615680 is a wasteful number, since it uses less digits than its factorization.

1338272615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 1338272615680 in words is "one trillion, three hundred thirty-eight billion, two hundred seventy-two million, six hundred fifteen thousand, six hundred eighty".