1446005141640 has 96 divisors (see below), whose sum is σ = 4788186900120. Its totient is φ = 378325868544.

The previous prime is 1446005141563. The next prime is 1446005141689. The reversal of 1446005141640 is 461415006441.

1446005141640 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 0 + 0 + 5 + 1 + 4 + 1 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1443328320996 + 2676820644 = 1201386^2 + 51738^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1446005141595 and 1446005141604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37874137 + ... + 37912296.

Almost surely, 2^{1446005141640} is an apocalyptic number.

1446005141640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1446005141640 is an abundant number, since it is smaller than the sum of its proper divisors (3342181758480).

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

1446005141640 is a wasteful number, since it uses less digits than its factorization.

1446005141640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75786503 (or 75786496 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1446005141640 in words is "one trillion, four hundred forty-six billion, five million, one hundred forty-one thousand, six hundred forty".