1381114800 has 360 divisors, whose sum is σ = 5357598064. Its totient is φ = 339655680.

The previous prime is 1381114753. The next prime is 1381114831. The reversal of 1381114800 is 84111831.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×1381114800³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1263054 + ... + 1264146.

Almost surely, 2^1381114800 is an apocalyptic number.

1381114800 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 1381114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678799032).

1381114800 is an abundant number, since it is smaller than the sum of its proper divisors (3976483264).

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

1381114800 is a wasteful number, since it uses less digits than its factorization.

1381114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1381114800 is about 37163.3529165494. The cubic root of 1381114800 is about 1113.6359948606.

The spelling of 1381114800 in words is "one billion, three hundred eighty-one million, one hundred fourteen thousand, eight hundred".