4002420033024 has 160 divisors (see below), whose sum is σ = 12187251394560. Its totient is φ = 1143425482752.

The previous prime is 4002420032987. The next prime is 4002420033049. The reversal of 4002420033024 is 4203300242004.

It is a super-2 number, since 2×4002420033024² (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 a junction number, because it is equal to n+sod(n) for n = 4002420032985 and 4002420033003.

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 15 ways as a sum of consecutive naturals, for example, 157321297 + ... + 157346735.

It is an arithmetic number, because the mean of its divisors is an integer number (76170321216).

Almost surely, 2^{4002420033024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002420033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093625697280).

4002420033024 is an abundant number, since it is smaller than the sum of its proper divisors (8184831361536).

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

4002420033024 is a wasteful number, since it uses less digits than its factorization.

4002420033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40100 (or 40084 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4002420033024 its reverse (4203300242004), we get a palindrome (8205720275028).

The spelling of 4002420033024 in words is "four trillion, two billion, four hundred twenty million, thirty-three thousand, twenty-four".