42121230033444 has 192 divisors, whose sum is σ = 105434587754496. Its totient is φ = 13041955086336.

The previous prime is 42121230033437. The next prime is 42121230033451. The reversal of 42121230033444 is 44433003212124.

It is an interprime number because it is at equal distance from previous prime (42121230033437) and next prime (42121230033451).

It is a super-2 number, since 2×42121230033444² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2750676732 + ... + 2750692044.

It is an arithmetic number, because the mean of its divisors is an integer number (549138477888).

Almost surely, 2^{42121230033444} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42121230033444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52717293877248).

42121230033444 is an abundant number, since it is smaller than the sum of its proper divisors (63313357721052).

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

42121230033444 is a wasteful number, since it uses less digits than its factorization.

42121230033444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16074 (or 16072 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 42121230033444 its reverse (44433003212124), we get a palindrome (86554233245568).

The spelling of 42121230033444 in words is "forty-two trillion, one hundred twenty-one billion, two hundred thirty million, thirty-three thousand, four hundred forty-four".