361516260853440 has 4704 divisors, whose sum is σ = 1704118993827840. Its totient is φ = 72124054732800.

The previous prime is 361516260853393. The next prime is 361516260853459. The reversal of 361516260853440 is 44358062615163.

361516260853440 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 1 + 6 + 2 + 60 + 8 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4704).

It is a super-2 number, since 2×361516260853440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 635353709476 + ... + 635353710044.

Almost surely, 2^{361516260853440} is an apocalyptic number.

361516260853440 is a gapful number since it is divisible by the number (30) 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 361516260853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852059496913920).

361516260853440 is an abundant number, since it is smaller than the sum of its proper divisors (1342602732974400).

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

361516260853440 is a wasteful number, since it uses less digits than its factorization.

361516260853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 361516260853440 in words is "three hundred sixty-one trillion, five hundred sixteen billion, two hundred sixty million, eight hundred fifty-three thousand, four hundred forty".