1446133206540 has 192 divisors, whose sum is σ = 4431955110912. Its totient is φ = 349414732800.

The previous prime is 1446133206527. The next prime is 1446133206577. The reversal of 1446133206540 is 456023316441.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428736294 + ... + 428739666.

It is an arithmetic number, because the mean of its divisors is an integer number (23083099536).

Almost surely, 2^{1446133206540} is an apocalyptic number.

1446133206540 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 1446133206540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215977555456).

1446133206540 is an abundant number, since it is smaller than the sum of its proper divisors (2985821904372).

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

1446133206540 is a wasteful number, since it uses less digits than its factorization.

1446133206540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5358 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 1446133206540 in words is "one trillion, four hundred forty-six billion, one hundred thirty-three million, two hundred six thousand, five hundred forty".