4200021244320 has 192 divisors, whose sum is σ = 14442015813120. Its totient is φ = 1017536844800.

The previous prime is 4200021244313. The next prime is 4200021244333. The reversal of 4200021244320 is 234421200024.

It is a super-2 number, since 2×4200021244320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8041711 + ... + 8548049.

It is an arithmetic number, because the mean of its divisors is an integer number (75218832360).

Almost surely, 2^{4200021244320} is an apocalyptic number.

4200021244320 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 4200021244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7221007906560).

4200021244320 is an abundant number, since it is smaller than the sum of its proper divisors (10241994568800).

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

4200021244320 is a wasteful number, since it uses less digits than its factorization.

4200021244320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507939 (or 507931 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4200021244320 its reverse (234421200024), we get a palindrome (4434442444344).

The spelling of 4200021244320 in words is "four trillion, two hundred billion, twenty-one million, two hundred forty-four thousand, three hundred twenty".