4121802854400 has 2808 divisors, whose sum is σ = 18233364156672. Its totient is φ = 817496064000.

The previous prime is 4121802854363. The next prime is 4121802854401. The reversal of 4121802854400 is 44582081214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4121802854401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 56463052764 + ... + 56463052836.

Almost surely, 2^{4121802854400} is an apocalyptic number.

4121802854400 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 4121802854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116682078336).

4121802854400 is an abundant number, since it is smaller than the sum of its proper divisors (14111561302272).

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

4121802854400 is a wasteful number, since it uses less digits than its factorization.

4121802854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 4121802854400 in words is "four trillion, one hundred twenty-one billion, eight hundred two million, eight hundred fifty-four thousand, four hundred".