1381018800 has 480 divisors, whose sum is σ = 5646067200. Its totient is φ = 280903680.

The previous prime is 1381018789. The next prime is 1381018801. The reversal of 1381018800 is 88101831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1381018801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2712946 + ... + 2713454.

It is an arithmetic number, because the mean of its divisors is an integer number (11762640).

Almost surely, 2^1381018800 is an apocalyptic number.

1381018800 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 1381018800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823033600).

1381018800 is an abundant number, since it is smaller than the sum of its proper divisors (4265048400).

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

1381018800 is a wasteful number, since it uses less digits than its factorization.

1381018800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 1381018800 is about 37162.0612991260. The cubic root of 1381018800 is about 1113.6101916634.

The spelling of 1381018800 in words is "one billion, three hundred eighty-one million, eighteen thousand, eight hundred".