1378453440 has 448 divisors, whose sum is σ = 5571256320. Its totient is φ = 280903680.

The previous prime is 1378453387. The next prime is 1378453469. The reversal of 1378453440 is 443548731.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2707906 + ... + 2708414.

It is an arithmetic number, because the mean of its divisors is an integer number (12435840).

Almost surely, 2^1378453440 is an apocalyptic number.

1378453440 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 1378453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785628160).

1378453440 is an abundant number, since it is smaller than the sum of its proper divisors (4192802880).

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

1378453440 is a wasteful number, since it uses less digits than its factorization.

1378453440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 1378453440 is about 37127.5294087824. The cubic root of 1378453440 is about 1112.9202223470.

The spelling of 1378453440 in words is "one billion, three hundred seventy-eight million, four hundred fifty-three thousand, four hundred forty".