1331778848400 has 2880 divisors, whose sum is σ = 6673252884480. Its totient is φ = 236788531200.

The previous prime is 1331778848377. The next prime is 1331778848513. The reversal of 1331778848400 is 48488771331.

1331778848400 is a `hidden beast` number, since 13 + 3 + 1 + 77 + 88 + 484 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3628825017 + ... + 3628825383.

It is an arithmetic number, because the mean of its divisors is an integer number (2317101696).

Almost surely, 2^{1331778848400} is an apocalyptic number.

1331778848400 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 1331778848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336626442240).

1331778848400 is an abundant number, since it is smaller than the sum of its proper divisors (5341474036080).

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

1331778848400 is a wasteful number, since it uses less digits than its factorization.

1331778848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1331778848400 in words is "one trillion, three hundred thirty-one billion, seven hundred seventy-eight million, eight hundred forty-eight thousand, four hundred".