1020444014412 has 168 divisors, whose sum is σ = 2768662106112. Its totient is φ = 328597624800.

The previous prime is 1020444014393. The next prime is 1020444014419. The reversal of 1020444014412 is 2144104440201.

It is a happy number.

1020444014412 is a `hidden beast` number, since 1 + 0 + 204 + 4 + 40 + 1 + 4 + 412 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1020444014419) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 53052837 + ... + 53072067.

It is an arithmetic number, because the mean of its divisors is an integer number (16480131584).

Almost surely, 2^{1020444014412} is an apocalyptic number.

1020444014412 is a gapful number since it is divisible by the number (12) 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 1020444014412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384331053056).

1020444014412 is an abundant number, since it is smaller than the sum of its proper divisors (1748218091700).

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

1020444014412 is a wasteful number, since it uses less digits than its factorization.

1020444014412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19871 (or 19854 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1020444014412 its reverse (2144104440201), we get a palindrome (3164548454613).

The spelling of 1020444014412 in words is "one trillion, twenty billion, four hundred forty-four million, fourteen thousand, four hundred twelve".