1365616641440 has 48 divisors (see below), whose sum is σ = 3270464813448. Its totient is φ = 538763821056.

The previous prime is 1365616641421. The next prime is 1365616641503. The reversal of 1365616641440 is 441466165631.

It can be written as a sum of positive squares in 4 ways, for example, as 688083522064 + 677533119376 = 829508^2 + 823124^2 .

It is a super-2 number, since 2×1365616641440² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58447937 + ... + 58471296.

Almost surely, 2^{1365616641440} is an apocalyptic number.

1365616641440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1365616641440 is an abundant number, since it is smaller than the sum of its proper divisors (1904848172008).

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

1365616641440 is a wasteful number, since it uses less digits than its factorization.

1365616641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116919321 (or 116919313 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 1365616641440 in words is "one trillion, three hundred sixty-five billion, six hundred sixteen million, six hundred forty-one thousand, four hundred forty".