1380100300800 has 672 divisors, whose sum is σ = 4955540325120. Its totient is φ = 336868147200.

The previous prime is 1380100300781. The next prime is 1380100300837. The reversal of 1380100300800 is 80030010831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046322541 + ... + 1046323859.

It is an arithmetic number, because the mean of its divisors is an integer number (7374315960).

Almost surely, 2^{1380100300800} is an apocalyptic number.

1380100300800 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 1380100300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477770162560).

1380100300800 is an abundant number, since it is smaller than the sum of its proper divisors (3575440024320).

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

1380100300800 is a wasteful number, since it uses less digits than its factorization.

1380100300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 1380100300800 in words is "one trillion, three hundred eighty billion, one hundred million, three hundred thousand, eight hundred".