1398124800 has 648 divisors, whose sum is σ = 5535479040. Its totient is φ = 348364800.

The previous prime is 1398124799. The next prime is 1398124811. The reversal of 1398124800 is 84218931.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45100785 + ... + 45100815.

Almost surely, 2^1398124800 is an apocalyptic number.

1398124800 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 1398124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767739520).

1398124800 is an abundant number, since it is smaller than the sum of its proper divisors (4137354240).

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

1398124800 is an equidigital number, since it uses as much as digits as its factorization.

1398124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1398124800 is about 37391.5070570845. The cubic root of 1398124800 is about 1118.1892509376.

It can be divided in two parts, 13981 and 24800, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 1398124800 in words is "one billion, three hundred ninety-eight million, one hundred twenty-four thousand, eight hundred".