1382339312640 has 1980 divisors, whose sum is σ = 5931998630712. Its totient is φ = 307436912640.

The previous prime is 1382339312531. The next prime is 1382339312699. The reversal of 1382339312640 is 462139332831.

1382339312640 is a `hidden beast` number, since 1 + 382 + 3 + 3 + 9 + 3 + 1 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

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 polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8480609199 + ... + 8480609361.

Almost surely, 2^{1382339312640} is an apocalyptic number.

1382339312640 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 1382339312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965999315356).

1382339312640 is an abundant number, since it is smaller than the sum of its proper divisors (4549659318072).

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

1382339312640 is a wasteful number, since it uses less digits than its factorization.

1382339312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 1382339312640 in words is "one trillion, three hundred eighty-two billion, three hundred thirty-nine million, three hundred twelve thousand, six hundred forty".