1381466240 has 384 divisors, whose sum is σ = 4419031680. Its totient is φ = 401080320.

The previous prime is 1381466213. The next prime is 1381466263. The reversal of 1381466240 is 426641831.

1381466240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1381466240.

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, 14241872 + ... + 14241968.

It is an arithmetic number, because the mean of its divisors is an integer number (11507895).

Almost surely, 2^1381466240 is an apocalyptic number.

1381466240 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 1381466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209515840).

1381466240 is an abundant number, since it is smaller than the sum of its proper divisors (3037565440).

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

1381466240 is a wasteful number, since it uses less digits than its factorization.

1381466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 1381466240 is about 37168.0809297440. The cubic root of 1381466240 is about 1113.7304458655.

The spelling of 1381466240 in words is "one billion, three hundred eighty-one million, four hundred sixty-six thousand, two hundred forty".