4220003432960 has 480 divisors, whose sum is σ = 12677968290240. Its totient is φ = 1338798440448.

The previous prime is 4220003432929. The next prime is 4220003432963. The reversal of 4220003432960 is 692343000224.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4220003432960.

It is not an unprimeable number, because it can be changed into a prime (4220003432963) 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, 102463892 + ... + 102505068.

It is an arithmetic number, because the mean of its divisors is an integer number (26412433938).

Almost surely, 2^{4220003432960} is an apocalyptic number.

4220003432960 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 4220003432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338984145120).

4220003432960 is an abundant number, since it is smaller than the sum of its proper divisors (8457964857280).

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

4220003432960 is a wasteful number, since it uses less digits than its factorization.

4220003432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41276 (or 41253 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 4220003432960 in words is "four trillion, two hundred twenty billion, three million, four hundred thirty-two thousand, nine hundred sixty".