361429440856704 has 1536 divisors, whose sum is σ = 1273611755520000. Its totient is φ = 97096237056000.

The previous prime is 361429440856667. The next prime is 361429440856739. The reversal of 361429440856704 is 407658044924163.

361429440856704 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 29 + 4 + 40 + 8 + 567 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37457704872 + ... + 37457714520.

It is an arithmetic number, because the mean of its divisors is an integer number (829174320000).

It is a 1-persistent number, because it is pandigital, but 2⋅361429440856704 = 722858881713408 is not.

Almost surely, 2^{361429440856704} is an apocalyptic number.

361429440856704 is a gapful number since it is divisible by the number (34) 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 361429440856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636805877760000).

361429440856704 is an abundant number, since it is smaller than the sum of its proper divisors (912182314663296).

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

361429440856704 is a wasteful number, since it uses less digits than its factorization.

361429440856704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9878 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 361429440856704 in words is "three hundred sixty-one trillion, four hundred twenty-nine billion, four hundred forty million, eight hundred fifty-six thousand, seven hundred four".