1298455844400 has 1920 divisors, whose sum is σ = 5763977748480. Its totient is φ = 273217536000.

The previous prime is 1298455844341. The next prime is 1298455844407. The reversal of 1298455844400 is 44485548921.

1298455844400 is a `hidden beast` number, since 1 + 2 + 9 + 8 + 4 + 558 + 44 + 40 + 0 = 666.

It is a super-2 number, since 2×1298455844400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1298455844407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1771426434 + ... + 1771427166.

It is an arithmetic number, because the mean of its divisors is an integer number (3002071744).

Almost surely, 2^{1298455844400} is an apocalyptic number.

1298455844400 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 1298455844400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881988874240).

1298455844400 is an abundant number, since it is smaller than the sum of its proper divisors (4465521904080).

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

1298455844400 is a wasteful number, since it uses less digits than its factorization.

1298455844400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 1298455844400 in words is "one trillion, two hundred ninety-eight billion, four hundred fifty-five million, eight hundred forty-four thousand, four hundred".