1338748977280 has 1024 divisors, whose sum is σ = 4216015319040. Its totient is φ = 398721024000.

The previous prime is 1338748977217. The next prime is 1338748977337. The reversal of 1338748977280 is 827798478331.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1977472302 + ... + 1977472978.

It is an arithmetic number, because the mean of its divisors is an integer number (4117202460).

Almost surely, 2^{1338748977280} is an apocalyptic number.

1338748977280 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 1338748977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108007659520).

1338748977280 is an abundant number, since it is smaller than the sum of its proper divisors (2877266341760).

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

1338748977280 is a wasteful number, since it uses less digits than its factorization.

1338748977280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 67.

The spelling of 1338748977280 in words is "one trillion, three hundred thirty-eight billion, seven hundred forty-eight million, nine hundred seventy-seven thousand, two hundred eighty".