415410121500 has 1152 divisors, whose sum is σ = 1501791363072. Its totient is φ = 88704000000.

The previous prime is 415410121439. The next prime is 415410121507. The reversal of 415410121500 is 5121014514.

415410121500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×415410121500³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415410121507) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4112971450 + ... + 4112971550.

It is an arithmetic number, because the mean of its divisors is an integer number (1303638336).

Almost surely, 2^415410121500 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 415410121500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750895681536).

415410121500 is an abundant number, since it is smaller than the sum of its proper divisors (1086381241572).

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

415410121500 is a wasteful number, since it uses less digits than its factorization.

415410121500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The spelling of 415410121500 in words is "four hundred fifteen billion, four hundred ten million, one hundred twenty-one thousand, five hundred".