1331150673600 has 1344 divisors, whose sum is σ = 5743207411200. Its totient is φ = 296239104000.

The previous prime is 1331150673577. The next prime is 1331150673631. The reversal of 1331150673600 is 63760511331.

It is a happy number.

1331150673600 is a `hidden beast` number, since 1 + 3 + 31 + 15 + 0 + 6 + 7 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 331212391 + ... + 331216409.

It is an arithmetic number, because the mean of its divisors is an integer number (4273219800).

Almost surely, 2^{1331150673600} is an apocalyptic number.

1331150673600 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 1331150673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871603705600).

1331150673600 is an abundant number, since it is smaller than the sum of its proper divisors (4412056737600).

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

1331150673600 is a wasteful number, since it uses less digits than its factorization.

1331150673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 1331150673600 in words is "one trillion, three hundred thirty-one billion, one hundred fifty million, six hundred seventy-three thousand, six hundred".