4215100032000 has 1760 divisors, whose sum is σ = 18461487268224. Its totient is φ = 942907392000.

The previous prime is 4215100031939. The next prime is 4215100032119. The reversal of 4215100032000 is 2300015124.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1482622579 + ... + 1482625421.

Almost surely, 2^{4215100032000} is an apocalyptic number.

4215100032000 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 4215100032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230743634112).

4215100032000 is an abundant number, since it is smaller than the sum of its proper divisors (14246387236224).

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

4215100032000 is a wasteful number, since it uses less digits than its factorization.

4215100032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 4215100032000 its reverse (2300015124), we get a palindrome (4217400047124).

The spelling of 4215100032000 in words is "four trillion, two hundred fifteen billion, one hundred million, thirty-two thousand".