4405121123040 has 576 divisors, whose sum is σ = 17663670984960. Its totient is φ = 988171591680.

The previous prime is 4405121122993. The next prime is 4405121123041. The reversal of 4405121123040 is 403211215044.

4405121123040 is a `hidden beast` number, since 4 + 4 + 0 + 512 + 112 + 30 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4405121122995 and 4405121123013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4405121123041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12771084 + ... + 13111476.

It is an arithmetic number, because the mean of its divisors is an integer number (30666095460).

Almost surely, 2^{4405121123040} is an apocalyptic number.

4405121123040 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 4405121123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831835492480).

4405121123040 is an abundant number, since it is smaller than the sum of its proper divisors (13258549861920).

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

4405121123040 is a wasteful number, since it uses less digits than its factorization.

4405121123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340487 (or 340476 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4405121123040 its reverse (403211215044), we get a palindrome (4808332338084).

The spelling of 4405121123040 in words is "four trillion, four hundred five billion, one hundred twenty-one million, one hundred twenty-three thousand, forty".