1331438192000 has 1024 divisors, whose sum is σ = 4063288320000. Its totient is φ = 433249689600.

The previous prime is 1331438191991. The next prime is 1331438192009. The reversal of 1331438192000 is 2918341331.

It is an interprime number because it is at equal distance from previous prime (1331438191991) and next prime (1331438192009).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331438192009) 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, 16041423959 + ... + 16041424041.

It is an arithmetic number, because the mean of its divisors is an integer number (3968055000).

Almost surely, 2^{1331438192000} is an apocalyptic number.

1331438192000 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 1331438192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031644160000).

1331438192000 is an abundant number, since it is smaller than the sum of its proper divisors (2731850128000).

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

1331438192000 is an frugal number, since it uses more digits than its factorization.

1331438192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 1331438192000 in words is "one trillion, three hundred thirty-one billion, four hundred thirty-eight million, one hundred ninety-two thousand".