1364363240240 has 1440 divisors, whose sum is σ = 4680568924416. Its totient is φ = 363317391360.

The previous prime is 1364363240239. The next prime is 1364363240243. The reversal of 1364363240240 is 420423634631.

It is a super-2 number, since 2×1364363240240² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1364363240194 and 1364363240203.

It is not an unprimeable number, because it can be changed into a prime (1364363240243) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12751058267 + ... + 12751058373.

Almost surely, 2^{1364363240240} is an apocalyptic number.

1364363240240 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 1364363240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340284462208).

1364363240240 is an abundant number, since it is smaller than the sum of its proper divisors (3316205684176).

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

1364363240240 is a wasteful number, since it uses less digits than its factorization.

1364363240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 38.

Adding to 1364363240240 its reverse (420423634631), we get a palindrome (1784786874871).

The spelling of 1364363240240 in words is "one trillion, three hundred sixty-four billion, three hundred sixty-three million, two hundred forty thousand, two hundred forty".