361233920436480 has 8064 divisors, whose sum is σ = 1775629155041280. Its totient is φ = 68263894056960.

The previous prime is 361233920436469. The next prime is 361233920436481. The reversal of 361233920436480 is 84634029332163.

361233920436480 is a `hidden beast` number, since 3 + 6 + 1 + 2 + 33 + 92 + 0 + 43 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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

It is not an unprimeable number, because it can be changed into a prime (361233920436481) by changing a digit.

It is a polite number, since it can be written in 895 ways as a sum of consecutive naturals, for example, 2844361578177 + ... + 2844361578303.

It is an arithmetic number, because the mean of its divisors is an integer number (220192107520).

Almost surely, 2^{361233920436480} is an apocalyptic number.

361233920436480 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 361233920436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887814577520640).

361233920436480 is an abundant number, since it is smaller than the sum of its proper divisors (1414395234604800).

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

361233920436480 is a wasteful number, since it uses less digits than its factorization.

361233920436480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 361233920436480 in words is "three hundred sixty-one trillion, two hundred thirty-three billion, nine hundred twenty million, four hundred thirty-six thousand, four hundred eighty".