4215976128000 has 2560 divisors, whose sum is σ = 19463914229760. Its totient is φ = 886837248000.

The previous prime is 4215976127989. The next prime is 4215976128061. The reversal of 4215976128000 is 8216795124.

4215976128000 is a `hidden beast` number, since 4 + 21 + 5 + 9 + 7 + 612 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12737087835 + ... + 12737088165.

It is an arithmetic number, because the mean of its divisors is an integer number (7603091496).

Almost surely, 2^{4215976128000} is an apocalyptic number.

4215976128000 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 4215976128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9731957114880).

4215976128000 is an abundant number, since it is smaller than the sum of its proper divisors (15247938101760).

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

4215976128000 is an frugal number, since it uses more digits than its factorization.

4215976128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 4215976128000 in words is "four trillion, two hundred fifteen billion, nine hundred seventy-six million, one hundred twenty-eight thousand".