4051042121000 has 192 divisors, whose sum is σ = 11235167732880. Its totient is φ = 1362721651200.

The previous prime is 4051042120997. The next prime is 4051042121051. The reversal of 4051042121000 is 1212401504.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32773309156 + 4018268811844 = 181034^2 + 2004562^2 .

It is a super-2 number, since 2×4051042121000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1817054 + ... + 3376946.

Almost surely, 2^{4051042121000} is an apocalyptic number.

4051042121000 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 4051042121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617583866440).

4051042121000 is an abundant number, since it is smaller than the sum of its proper divisors (7184125611880).

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

4051042121000 is a wasteful number, since it uses less digits than its factorization.

4051042121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559981 (or 1559960 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 4051042121000 its reverse (1212401504), we get a palindrome (4052254522504).

The spelling of 4051042121000 in words is "four trillion, fifty-one billion, forty-two million, one hundred twenty-one thousand".