362161939361040 has 840 divisors, whose sum is σ = 1581546267482328. Its totient is φ = 76412181565440.

The previous prime is 362161939361017. The next prime is 362161939361063. The reversal of 362161939361040 is 40163939161263.

It is a happy number.

362161939361040 is a `hidden beast` number, since 3 + 6 + 2 + 1 + 6 + 19 + 3 + 9 + 3 + 610 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (362161939361017) and next prime (362161939361063).

It can be written as a sum of positive squares in 4 ways, for example, as 15981829161984 + 346180110199056 = 3997728^2 + 18605916^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×362161939361040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 32275500 + ... + 42024180.

Almost surely, 2^{362161939361040} is an apocalyptic number.

362161939361040 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 362161939361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790773133741164).

362161939361040 is an abundant number, since it is smaller than the sum of its proper divisors (1219384328121288).

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

362161939361040 is a wasteful number, since it uses less digits than its factorization.

362161939361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9748739 (or 9748711 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 362161939361040 in words is "three hundred sixty-two trillion, one hundred sixty-one billion, nine hundred thirty-nine million, three hundred sixty-one thousand, forty".