415100016642000 has 80 divisors (see below), whose sum is σ = 1338282453673152. Its totient is φ = 110693337769600.

The previous prime is 415100016641957. The next prime is 415100016642023. The reversal of 415100016642000 is 246610001514.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34591662054 + ... + 34591674053.

Almost surely, 2^{415100016642000} is an apocalyptic number.

415100016642000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415100016642000 is an abundant number, since it is smaller than the sum of its proper divisors (923182437031152).

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

415100016642000 is a wasteful number, since it uses less digits than its factorization.

415100016642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69183336133 (or 69183336117 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 415100016642000 its reverse (246610001514), we get a palindrome (415346626643514).

The spelling of 415100016642000 in words is "four hundred fifteen trillion, one hundred billion, sixteen million, six hundred forty-two thousand".