413619196500 has 192 divisors, whose sum is σ = 1338783264000. Its totient is φ = 110257632000.

The previous prime is 413619196493. The next prime is 413619196517. The reversal of 413619196500 is 5691916314.

413619196500 is a `hidden beast` number, since 4 + 13 + 619 + 19 + 6 + 5 + 0 + 0 = 666.

It is a super-2 number, since 2×413619196500² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 59950051 + ... + 59956949.

It is an arithmetic number, because the mean of its divisors is an integer number (6972829500).

Almost surely, 2^413619196500 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 413619196500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669391632000).

413619196500 is an abundant number, since it is smaller than the sum of its proper divisors (925164067500).

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

413619196500 is a wasteful number, since it uses less digits than its factorization.

413619196500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368 (or 11350 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 413619196500 in words is "four hundred thirteen billion, six hundred nineteen million, one hundred ninety-six thousand, five hundred".