1339932672000 has 1152 divisors, whose sum is σ = 5358790120320. Its totient is φ = 328414003200.

The previous prime is 1339932671993. The next prime is 1339932672007. The reversal of 1339932672000 is 2762399331.

1339932672000 is a `hidden beast` number, since 1 + 33 + 99 + 326 + 7 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1339932671993) and next prime (1339932672007).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339932672007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5750783884 + ... + 5750784116.

It is an arithmetic number, because the mean of its divisors is an integer number (4651727535).

Almost surely, 2^{1339932672000} is an apocalyptic number.

1339932672000 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 1339932672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679395060160).

1339932672000 is an abundant number, since it is smaller than the sum of its proper divisors (4018857448320).

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

1339932672000 is an frugal number, since it uses more digits than its factorization.

1339932672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 1339932672000 in words is "one trillion, three hundred thirty-nine billion, nine hundred thirty-two million, six hundred seventy-two thousand".