415501010406 has 96 divisors (see below), whose sum is σ = 979184763648. Its totient is φ = 126973915200.

The previous prime is 415501010371. The next prime is 415501010417. The reversal of 415501010406 is 604010105514.

415501010406 is a `hidden beast` number, since 4 + 1 + 550 + 1 + 0 + 104 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 415501010406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823881 + ... + 1228731.

It is an arithmetic number, because the mean of its divisors is an integer number (10199841288).

Almost surely, 2^415501010406 is an apocalyptic number.

415501010406 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 415501010406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489592381824).

415501010406 is an abundant number, since it is smaller than the sum of its proper divisors (563683753242).

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

415501010406 is a wasteful number, since it uses less digits than its factorization.

415501010406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404986 (or 404983 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 415501010406 in words is "four hundred fifteen billion, five hundred one million, ten thousand, four hundred six".