361242659520 has 280 divisors, whose sum is σ = 1290786693504. Its totient is φ = 95897862144.

The previous prime is 361242659489. The next prime is 361242659537. The reversal of 361242659520 is 25956242163.

361242659520 is a `hidden beast` number, since 3 + 6 + 12 + 4 + 26 + 595 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5748912 + ... + 5811408.

Almost surely, 2^361242659520 is an apocalyptic number.

361242659520 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 361242659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645393346752).

361242659520 is an abundant number, since it is smaller than the sum of its proper divisors (929544033984).

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

361242659520 is a wasteful number, since it uses less digits than its factorization.

361242659520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62749 (or 62730 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 361242659520 in words is "three hundred sixty-one billion, two hundred forty-two million, six hundred fifty-nine thousand, five hundred twenty".