360016259040 has 384 divisors, whose sum is σ = 1372121856000. Its totient is φ = 87814637568.

The previous prime is 360016259033. The next prime is 360016259089. The reversal of 360016259040 is 40952610063.

It is a happy number.

360016259040 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 1 + 62 + 590 + 4 + 0 = 666.

It is a super-2 number, since 2×360016259040² (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 = 360016258986 and 360016259004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2304697 + ... + 2455943.

It is an arithmetic number, because the mean of its divisors is an integer number (3573234000).

Almost surely, 2^360016259040 is an apocalyptic number.

360016259040 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 360016259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686060928000).

360016259040 is an abundant number, since it is smaller than the sum of its proper divisors (1012105596960).

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

360016259040 is a wasteful number, since it uses less digits than its factorization.

360016259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151319 (or 151305 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 360016259040 in words is "three hundred sixty billion, sixteen million, two hundred fifty-nine thousand, forty".