4020323042400 has 576 divisors, whose sum is σ = 15762766118400. Its totient is φ = 869458821120.

The previous prime is 4020323042371. The next prime is 4020323042429. The reversal of 4020323042400 is 42403230204.

It is an interprime number because it is at equal distance from previous prime (4020323042371) and next prime (4020323042429).

It is a super-3 number, since 3×4020323042400³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264609204 + ... + 264624396.

It is an arithmetic number, because the mean of its divisors is an integer number (27365913400).

Almost surely, 2^{4020323042400} is an apocalyptic number.

4020323042400 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 4020323042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881383059200).

4020323042400 is an abundant number, since it is smaller than the sum of its proper divisors (11742443076000).

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

4020323042400 is a wasteful number, since it uses less digits than its factorization.

4020323042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16071 (or 16058 counting only the distinct ones).

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

Adding to 4020323042400 its reverse (42403230204), we get a palindrome (4062726272604).

The spelling of 4020323042400 in words is "four trillion, twenty billion, three hundred twenty-three million, forty-two thousand, four hundred".