360415016640 has 448 divisors, whose sum is σ = 1473585592320. Its totient is φ = 81219317760.

The previous prime is 360415016617. The next prime is 360415016707. The reversal of 360415016640 is 46610514063.

It is a happy number.

360415016640 is a `hidden beast` number, since 3 + 6 + 0 + 4 + 1 + 5 + 0 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×360415016640² (a number of 24 digits) contains 22 as substring.

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 = 360415016595 and 360415016604.

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 63 ways as a sum of consecutive naturals, for example, 4252114 + ... + 4336046.

Almost surely, 2^360415016640 is an apocalyptic number.

360415016640 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 360415016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736792796160).

360415016640 is an abundant number, since it is smaller than the sum of its proper divisors (1113170575680).

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

360415016640 is a wasteful number, since it uses less digits than its factorization.

360415016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84037 (or 84021 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 360415016640 in words is "three hundred sixty billion, four hundred fifteen million, sixteen thousand, six hundred forty".