361141535304000 has 672 divisors, whose sum is σ = 1409453245624320. Its totient is φ = 87540291072000.

The previous prime is 361141535303993. The next prime is 361141535304007. The reversal of 361141535304000 is 403535141163.

361141535304000 is a `hidden beast` number, since 3 + 6 + 11 + 41 + 535 + 30 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (361141535303993) and next prime (361141535304007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361141535304007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10440918706 + ... + 10440953294.

Almost surely, 2^{361141535304000} is an apocalyptic number.

361141535304000 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 361141535304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704726622812160).

361141535304000 is an abundant number, since it is smaller than the sum of its proper divisors (1048311710320320).

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

361141535304000 is a wasteful number, since it uses less digits than its factorization.

361141535304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47816 (or 47793 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 361141535304000 in words is "three hundred sixty-one trillion, one hundred forty-one billion, five hundred thirty-five million, three hundred four thousand".