361914883626240 has 2880 divisors, whose sum is σ = 1576937190850560. Its totient is φ = 77474101985280.

The previous prime is 361914883626229. The next prime is 361914883626277. The reversal of 361914883626240 is 42626388419163.

361914883626240 is a `hidden beast` number, since 3 + 6 + 1 + 91 + 488 + 3 + 6 + 2 + 62 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 167475650760 + ... + 167475652920.

It is an arithmetic number, because the mean of its divisors is an integer number (547547635712).

Almost surely, 2^{361914883626240} is an apocalyptic number.

361914883626240 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 361914883626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788468595425280).

361914883626240 is an abundant number, since it is smaller than the sum of its proper divisors (1215022307224320).

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

361914883626240 is a wasteful number, since it uses less digits than its factorization.

361914883626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 361914883626240 in words is "three hundred sixty-one trillion, nine hundred fourteen billion, eight hundred eighty-three million, six hundred twenty-six thousand, two hundred forty".