1020354000444 has 72 divisors (see below), whose sum is σ = 2592917570880. Its totient is φ = 338317587072.

The previous prime is 1020354000437. The next prime is 1020354000509. The reversal of 1020354000444 is 4440004530201.

It is a happy number.

1020354000444 is a `hidden beast` number, since 10 + 203 + 5 + 4 + 0 + 0 + 0 + 444 = 666.

It is a super-2 number, since 2×1020354000444² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5040202 + ... + 5238734.

It is an arithmetic number, because the mean of its divisors is an integer number (36012744040).

Almost surely, 2^{1020354000444} is an apocalyptic number.

It is an amenable number.

1020354000444 is an abundant number, since it is smaller than the sum of its proper divisors (1572563570436).

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

1020354000444 is a wasteful number, since it uses less digits than its factorization.

1020354000444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199299 (or 199294 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1020354000444 its reverse (4440004530201), we get a palindrome (5460358530645).

The spelling of 1020354000444 in words is "one trillion, twenty billion, three hundred fifty-four million, four hundred forty-four", and thus it is an aban number.