1381578240 has 320 divisors, whose sum is σ = 5216808960. Its totient is φ = 305233920.

The previous prime is 1381578227. The next prime is 1381578251. The reversal of 1381578240 is 428751831.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666146 + ... + 1666974.

It is an arithmetic number, because the mean of its divisors is an integer number (16302528).

Almost surely, 2^1381578240 is an apocalyptic number.

1381578240 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 1381578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608404480).

1381578240 is an abundant number, since it is smaller than the sum of its proper divisors (3835230720).

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

1381578240 is an equidigital number, since it uses as much as digits as its factorization.

1381578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1381578240 is about 37169.5875683333. The cubic root of 1381578240 is about 1113.7605429791.

The spelling of 1381578240 in words is "one billion, three hundred eighty-one million, five hundred seventy-eight thousand, two hundred forty".