415597896480 has 384 divisors, whose sum is σ = 1505367908352. Its totient is φ = 95576076288.

The previous prime is 415597896473. The next prime is 415597896533. The reversal of 415597896480 is 84698795514.

It is a super-2 number, since 2×415597896480² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6137689 + ... + 6205031.

It is an arithmetic number, because the mean of its divisors is an integer number (3920228928).

Almost surely, 2^415597896480 is an apocalyptic number.

415597896480 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 415597896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752683954176).

415597896480 is an abundant number, since it is smaller than the sum of its proper divisors (1089770011872).

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

415597896480 is a wasteful number, since it uses less digits than its factorization.

415597896480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67440 (or 67432 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 415597896480 in words is "four hundred fifteen billion, five hundred ninety-seven million, eight hundred ninety-six thousand, four hundred eighty".