1398345120 has 120 divisors (see below), whose sum is σ = 4935038724. Its totient is φ = 372888576.

The previous prime is 1398345119. The next prime is 1398345131. The reversal of 1398345120 is 215438931.

1398345120 is a `hidden beast` number, since 139 + 8 + 3 + 4 + 512 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1382947344 + 15397776 = 37188^2 + 3924^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40989 + ... + 66908.

Almost surely, 2^1398345120 is an apocalyptic number.

1398345120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1398345120 is an abundant number, since it is smaller than the sum of its proper divisors (3536693604).

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

1398345120 is a wasteful number, since it uses less digits than its factorization.

1398345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107924 (or 107907 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1398345120 is about 37394.4530645923. The cubic root of 1398345120 is about 1118.2479835381.

The spelling of 1398345120 in words is "one billion, three hundred ninety-eight million, three hundred forty-five thousand, one hundred twenty".