415241997525264 has 1280 divisors, whose sum is σ = 1415625234186240. Its totient is φ = 101994524835840.

The previous prime is 415241997525241. The next prime is 415241997525307. The reversal of 415241997525264 is 462525799142514.

It is a junction number, because it is equal to n+sod(n) for n = 415241997525195 and 415241997525204.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58991614257 + ... + 58991621295.

It is an arithmetic number, because the mean of its divisors is an integer number (1105957214208).

Almost surely, 2^{415241997525264} 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 415241997525264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707812617093120).

415241997525264 is an abundant number, since it is smaller than the sum of its proper divisors (1000383236660976).

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

415241997525264 is a wasteful number, since it uses less digits than its factorization.

415241997525264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7328 (or 7322 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 66.

The spelling of 415241997525264 in words is "four hundred fifteen trillion, two hundred forty-one billion, nine hundred ninety-seven million, five hundred twenty-five thousand, two hundred sixty-four".