1369981440 has 240 divisors, whose sum is σ = 4801364568. Its totient is φ = 360972288.

The previous prime is 1369981439. The next prime is 1369981447. The reversal of 1369981440 is 441899631.

It can be written as a sum of positive squares in 4 ways, for example, as 592240896 + 777740544 = 24336^2 + 27888^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1369981447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2234574 + ... + 2235186.

Almost surely, 2^1369981440 is an apocalyptic number.

1369981440 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 1369981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400682284).

1369981440 is an abundant number, since it is smaller than the sum of its proper divisors (3431383128).

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

1369981440 is an equidigital number, since it uses as much as digits as its factorization.

1369981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1369981440 is about 37013.2603265370. The cubic root of 1369981440 is about 1110.6355260067.

The spelling of 1369981440 in words is "one billion, three hundred sixty-nine million, nine hundred eighty-one thousand, four hundred forty".