1339935638976 has 672 divisors, whose sum is σ = 4458569980480. Its totient is φ = 399076761600.

The previous prime is 1339935638963. The next prime is 1339935638981. The reversal of 1339935638976 is 6798365399331.

It is a happy number.

1339935638976 is a `hidden beast` number, since 1 + 3 + 399 + 35 + 63 + 89 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1033103160 + ... + 1033104456.

Almost surely, 2^{1339935638976} is an apocalyptic number.

1339935638976 is a gapful number since it is divisible by the number (16) 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 1339935638976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229284990240).

1339935638976 is an abundant number, since it is smaller than the sum of its proper divisors (3118634341504).

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

1339935638976 is an equidigital number, since it uses as much as digits as its factorization.

1339935638976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1374 counting only the distinct ones).

The product of its digits is 595213920, while the sum is 72.

The spelling of 1339935638976 in words is "one trillion, three hundred thirty-nine billion, nine hundred thirty-five million, six hundred thirty-eight thousand, nine hundred seventy-six".