361241140051000 has 768 divisors, whose sum is σ = 963194770661760. Its totient is φ = 125705216000000.

The previous prime is 361241140050937. The next prime is 361241140051003. The reversal of 361241140051000 is 150041142163.

It is a super-2 number, since 2×361241140051000² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 361241140051000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361241140051003) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 296829202392 + ... + 296829203608.

Almost surely, 2^{361241140051000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361241140051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481597385330880).

361241140051000 is an abundant number, since it is smaller than the sum of its proper divisors (601953630610760).

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

361241140051000 is a wasteful number, since it uses less digits than its factorization.

361241140051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 361241140051000 its reverse (150041142163), we get a palindrome (361391181193163).

The spelling of 361241140051000 in words is "three hundred sixty-one trillion, two hundred forty-one billion, one hundred forty million, fifty-one thousand".