4141552979200 has 432 divisors, whose sum is σ = 13023647988736. Its totient is φ = 1268446003200.

The previous prime is 4141552979189. The next prime is 4141552979203. The reversal of 4141552979200 is 29792551414.

It is a super-2 number, since 2×4141552979200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141552979203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17939704 + ... + 18169096.

Almost surely, 2^{4141552979200} is an apocalyptic number.

4141552979200 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 4141552979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6511823994368).

4141552979200 is an abundant number, since it is smaller than the sum of its proper divisors (8882095009536).

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

4141552979200 is a wasteful number, since it uses less digits than its factorization.

4141552979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229470 (or 229451 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 4141552979200 in words is "four trillion, one hundred forty-one billion, five hundred fifty-two million, nine hundred seventy-nine thousand, two hundred".