1360414362240 has 160 divisors (see below), whose sum is σ = 4858285503060. Its totient is φ = 362777149440.

The previous prime is 1360414362227. The next prime is 1360414362299. The reversal of 1360414362240 is 422634140631.

1360414362240 is a `hidden beast` number, since 1 + 3 + 604 + 1 + 4 + 3 + 6 + 2 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1353946342464 + 6468019776 = 1163592^2 + 80424^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1360414362195 and 1360414362204.

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 19 ways as a sum of consecutive naturals, for example, 13069441 + ... + 13173120.

Almost surely, 2^{1360414362240} is an apocalyptic number.

1360414362240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1360414362240 is an abundant number, since it is smaller than the sum of its proper divisors (3497871140820).

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

1360414362240 is an equidigital number, since it uses as much as digits as its factorization.

1360414362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26242592 (or 26242571 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1360414362240 in words is "one trillion, three hundred sixty billion, four hundred fourteen million, three hundred sixty-two thousand, two hundred forty".