1457963827200 has 576 divisors, whose sum is σ = 5391989116800. Its totient is φ = 376189747200.

The previous prime is 1457963827181. The next prime is 1457963827217. The reversal of 1457963827200 is 27283697541.

It is a happy number.

1457963827200 is a `hidden beast` number, since 1 + 4 + 57 + 9 + 6 + 382 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228553611 + ... + 228559989.

It is a 1-persistent number, because it is pandigital, but 2⋅1457963827200 = 2915927654400 is not.

Almost surely, 2^{1457963827200} is an apocalyptic number.

1457963827200 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 1457963827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695994558400).

1457963827200 is an abundant number, since it is smaller than the sum of its proper divisors (3934025289600).

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

1457963827200 is an equidigital number, since it uses as much as digits as its factorization.

1457963827200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6456 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1457963827200 in words is "one trillion, four hundred fifty-seven billion, nine hundred sixty-three million, eight hundred twenty-seven thousand, two hundred".