415300510414452 has 144 divisors (see below), whose sum is σ = 1060964987040000. Its totient is φ = 126372868397568.

The previous prime is 415300510414423. The next prime is 415300510414457. The reversal of 415300510414452 is 254414015003514.

It is a super-2 number, since 2×415300510414452² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 415300510414452.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415300510414457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66196549 + ... + 72198227.

It is an arithmetic number, because the mean of its divisors is an integer number (7367812410000).

Almost surely, 2^{415300510414452} 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 415300510414452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530482493520000).

415300510414452 is an abundant number, since it is smaller than the sum of its proper divisors (645664476625548).

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

415300510414452 is a wasteful number, since it uses less digits than its factorization.

415300510414452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002090 (or 6002075 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 415300510414452 its reverse (254414015003514), we get a palindrome (669714525417966).

The spelling of 415300510414452 in words is "four hundred fifteen trillion, three hundred billion, five hundred ten million, four hundred fourteen thousand, four hundred fifty-two".