415052709120 has 1152 divisors, whose sum is σ = 1737759744000. Its totient is φ = 93001457664.

The previous prime is 415052709109. The next prime is 415052709133. The reversal of 415052709120 is 21907250514.

415052709120 is a `hidden beast` number, since 4 + 1 + 5 + 0 + 527 + 0 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1156135501 + ... + 1156135859.

It is an arithmetic number, because the mean of its divisors is an integer number (1508472000).

Almost surely, 2^415052709120 is an apocalyptic number.

415052709120 is a gapful number since it is divisible by the number (40) 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 415052709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868879872000).

415052709120 is an abundant number, since it is smaller than the sum of its proper divisors (1322707034880).

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

415052709120 is an frugal number, since it uses more digits than its factorization.

415052709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Adding to 415052709120 its reverse (21907250514), we get a palindrome (436959959634).

The spelling of 415052709120 in words is "four hundred fifteen billion, fifty-two million, seven hundred nine thousand, one hundred twenty".