415101351280 has 240 divisors, whose sum is σ = 1245144680640. Its totient is φ = 125884661760.

The previous prime is 415101351227. The next prime is 415101351281. The reversal of 415101351280 is 82153101514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415101351281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2424336 + ... + 2589904.

It is an arithmetic number, because the mean of its divisors is an integer number (5188102836).

Almost surely, 2^415101351280 is an apocalyptic number.

415101351280 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 415101351280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622572340320).

415101351280 is an abundant number, since it is smaller than the sum of its proper divisors (830043329360).

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

415101351280 is a wasteful number, since it uses less digits than its factorization.

415101351280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165648 (or 165631 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

Adding to 415101351280 its reverse (82153101514), we get a palindrome (497254452794).

The spelling of 415101351280 in words is "four hundred fifteen billion, one hundred one million, three hundred fifty-one thousand, two hundred eighty".