415315263000 has 256 divisors, whose sum is σ = 1421499456000. Its totient is φ = 100118592000.

The previous prime is 415315262987. The next prime is 415315263029. The reversal of 415315263000 is 362513514.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5871846 + ... + 5942154.

It is an arithmetic number, because the mean of its divisors is an integer number (5552732250).

Almost surely, 2^415315263000 is an apocalyptic number.

415315263000 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 415315263000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710749728000).

415315263000 is an abundant number, since it is smaller than the sum of its proper divisors (1006184193000).

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

415315263000 is a wasteful number, since it uses less digits than its factorization.

415315263000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70523 (or 70509 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 415315263000 its reverse (362513514), we get a palindrome (415677776514).

The spelling of 415315263000 in words is "four hundred fifteen billion, three hundred fifteen million, two hundred sixty-three thousand".