1398178545120 has 1920 divisors, whose sum is σ = 6233247820800. Its totient is φ = 287944409088.

The previous prime is 1398178545097. The next prime is 1398178545131. The reversal of 1398178545120 is 215458718931.

1398178545120 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 1 + 78 + 54 + 512 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 4148897592 + ... + 4148897928.

It is an arithmetic number, because the mean of its divisors is an integer number (3246483240).

Almost surely, 2^{1398178545120} is an apocalyptic number.

1398178545120 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 1398178545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116623910400).

1398178545120 is an abundant number, since it is smaller than the sum of its proper divisors (4835069275680).

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

1398178545120 is a wasteful number, since it uses less digits than its factorization.

1398178545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1398178545120 in words is "one trillion, three hundred ninety-eight billion, one hundred seventy-eight million, five hundred forty-five thousand, one hundred twenty".