1648027814400 has 1200 divisors, whose sum is σ = 6738005802528. Its totient is φ = 394481664000.

The previous prime is 1648027814393. The next prime is 1648027814423. The reversal of 1648027814400 is 44187208461.

1648027814400 is a `hidden beast` number, since 1 + 6 + 480 + 27 + 8 + 144 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 946597530 + ... + 946599270.

Almost surely, 2^{1648027814400} is an apocalyptic number.

1648027814400 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 1648027814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369002901264).

1648027814400 is an abundant number, since it is smaller than the sum of its proper divisors (5089977988128).

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

1648027814400 is a wasteful number, since it uses less digits than its factorization.

1648027814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1648027814400 in words is "one trillion, six hundred forty-eight billion, twenty-seven million, eight hundred fourteen thousand, four hundred".