1378245440 has 112 divisors (see below), whose sum is σ = 3855841920. Its totient is φ = 462612480.

The previous prime is 1378245433. The next prime is 1378245497. The reversal of 1378245440 is 445428731.

It is a junction number, because it is equal to n+sod(n) for n = 1378245394 and 1378245403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30701 + ... + 60819.

It is an arithmetic number, because the mean of its divisors is an integer number (34427160).

Almost surely, 2^1378245440 is an apocalyptic number.

1378245440 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 1378245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927920960).

1378245440 is an abundant number, since it is smaller than the sum of its proper divisors (2477596480).

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

1378245440 is a wasteful number, since it uses less digits than its factorization.

1378245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30160 (or 30150 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 1378245440 is about 37124.7281471528. The cubic root of 1378245440 is about 1112.8642419649.

The spelling of 1378245440 in words is "one billion, three hundred seventy-eight million, two hundred forty-five thousand, four hundred forty".