4141215504000 has 1024 divisors, whose sum is σ = 16853633971200. Its totient is φ = 994133606400.

The previous prime is 4141215503947. The next prime is 4141215504059. The reversal of 4141215504000 is 4055121414.

4141215504000 is a `hidden beast` number, since 4 + 1 + 41 + 215 + 5 + 0 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168899742 + ... + 168924258.

It is an arithmetic number, because the mean of its divisors is an integer number (16458626925).

Almost surely, 2^{4141215504000} is an apocalyptic number.

4141215504000 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 4141215504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426816985600).

4141215504000 is an abundant number, since it is smaller than the sum of its proper divisors (12712418467200).

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

4141215504000 is a wasteful number, since it uses less digits than its factorization.

4141215504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24595 (or 24567 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 4141215504000 in words is "four trillion, one hundred forty-one billion, two hundred fifteen million, five hundred four thousand".