361426918320 has 800 divisors, whose sum is σ = 1493740144512. Its totient is φ = 80085417984.

The previous prime is 361426918313. The next prime is 361426918327. The reversal of 361426918320 is 23819624163.

361426918320 is a `hidden beast` number, since 3 + 61 + 4 + 269 + 1 + 8 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (361426918313) and next prime (361426918327).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (361426918327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32932354 + ... + 32943326.

Almost surely, 2^361426918320 is an apocalyptic number.

361426918320 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 361426918320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746870072256).

361426918320 is an abundant number, since it is smaller than the sum of its proper divisors (1132313226192).

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

361426918320 is a wasteful number, since it uses less digits than its factorization.

361426918320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11051 (or 11036 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 361426918320 in words is "three hundred sixty-one billion, four hundred twenty-six million, nine hundred eighteen thousand, three hundred twenty".