4121005921920 has 640 divisors, whose sum is σ = 15250209638400. Its totient is φ = 1059238010880.

The previous prime is 4121005921913. The next prime is 4121005921933. The reversal of 4121005921920 is 291295001214.

4121005921920 is a `hidden beast` number, since 41 + 2 + 1 + 0 + 0 + 592 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1038819777 + ... + 1038823743.

It is an arithmetic number, because the mean of its divisors is an integer number (23828452560).

Almost surely, 2^{4121005921920} is an apocalyptic number.

4121005921920 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 4121005921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625104819200).

4121005921920 is an abundant number, since it is smaller than the sum of its proper divisors (11129203716480).

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

4121005921920 is a wasteful number, since it uses less digits than its factorization.

4121005921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 4121005921920 in words is "four trillion, one hundred twenty-one billion, five million, nine hundred twenty-one thousand, nine hundred twenty".