360414000420 has 192 divisors, whose sum is σ = 1069214065920. Its totient is φ = 90555236352.

The previous prime is 360414000383. The next prime is 360414000437. The reversal of 360414000420 is 24000414063.

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, 149115052 + ... + 149117468.

It is an arithmetic number, because the mean of its divisors is an integer number (5568823260).

Almost surely, 2^360414000420 is an apocalyptic number.

360414000420 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 360414000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534607032960).

360414000420 is an abundant number, since it is smaller than the sum of its proper divisors (708800065500).

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

360414000420 is a wasteful number, since it uses less digits than its factorization.

360414000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 360414000420 its reverse (24000414063), we get a palindrome (384414414483).

The spelling of 360414000420 in words is "three hundred sixty billion, four hundred fourteen million, four hundred twenty", and thus it is an aban number.