361401642 has 64 divisors (see below), whose sum is σ = 919991040. Its totient is φ = 103016448.

The previous prime is 361401629. The next prime is 361401661. The reversal of 361401642 is 246104163.

361401642 is a `hidden beast` number, since 3 + 6 + 14 + 0 + 1 + 642 = 666.

It is a super-2 number, since 2×361401642² = 261222293680592328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217278 + ... + 218934.

It is an arithmetic number, because the mean of its divisors is an integer number (14374860).

Almost surely, 2^361401642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361401642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459995520).

361401642 is an abundant number, since it is smaller than the sum of its proper divisors (558589398).

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

361401642 is a wasteful number, since it uses less digits than its factorization.

361401642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 361401642 is about 19010.5665880846. The cubic root of 361401642 is about 712.3007043704.

The spelling of 361401642 in words is "three hundred sixty-one million, four hundred one thousand, six hundred forty-two".