4020100424400 has 60 divisors (see below), whose sum is σ = 12877721696672. Its totient is φ = 1072026779520.

The previous prime is 4020100424363. The next prime is 4020100424407. The reversal of 4020100424400 is 44240010204.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×4020100424400³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020100424407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1675040644 + ... + 1675043043.

Almost surely, 2^{4020100424400} is an apocalyptic number.

4020100424400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020100424400 is an abundant number, since it is smaller than the sum of its proper divisors (8857621272272).

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

4020100424400 is a wasteful number, since it uses less digits than its factorization.

4020100424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350083708 (or 3350083697 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 4020100424400 its reverse (44240010204), we get a palindrome (4064340434604).

The spelling of 4020100424400 in words is "four trillion, twenty billion, one hundred million, four hundred twenty-four thousand, four hundred".