1457343677200 has 120 divisors (see below), whose sum is σ = 3700842828320. Its totient is φ = 549964339200.

The previous prime is 1457343677149. The next prime is 1457343677227. The reversal of 1457343677200 is 27763437541.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1433767 + ... + 2229433.

Almost surely, 2^{1457343677200} is an apocalyptic number.

1457343677200 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 1457343677200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850421414160).

1457343677200 is an abundant number, since it is smaller than the sum of its proper divisors (2243499151120).

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

1457343677200 is a wasteful number, since it uses less digits than its factorization.

1457343677200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795945 (or 795934 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 49.

The spelling of 1457343677200 in words is "one trillion, four hundred fifty-seven billion, three hundred forty-three million, six hundred seventy-seven thousand, two hundred".