4215480353280 has 960 divisors, whose sum is σ = 17201584528128. Its totient is φ = 933909626880.

The previous prime is 4215480353269. The next prime is 4215480353291. The reversal of 4215480353280 is 823530845124.

4215480353280 is a `hidden beast` number, since 4 + 2 + 15 + 4 + 8 + 0 + 353 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (4215480353269) and next prime (4215480353291).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1748435275 + ... + 1748437685.

Almost surely, 2^{4215480353280} is an apocalyptic number.

4215480353280 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 4215480353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600792264064).

4215480353280 is an abundant number, since it is smaller than the sum of its proper divisors (12986104174848).

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

4215480353280 is a wasteful number, since it uses less digits than its factorization.

4215480353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 4215480353280 in words is "four trillion, two hundred fifteen billion, four hundred eighty million, three hundred fifty-three thousand, two hundred eighty".