1029404620944 has 960 divisors, whose sum is σ = 3724521615360. Its totient is φ = 268671375360.

The previous prime is 1029404620931. The next prime is 1029404620961. The reversal of 1029404620944 is 4490264049201.

1029404620944 is a `hidden beast` number, since 10 + 2 + 9 + 4 + 0 + 4 + 620 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×1029404620944² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1029404620944.

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 191 ways as a sum of consecutive naturals, for example, 3309982549 + ... + 3309982859.

It is an arithmetic number, because the mean of its divisors is an integer number (3879710016).

Almost surely, 2^{1029404620944} is an apocalyptic number.

1029404620944 is a gapful number since it is divisible by the number (14) 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 1029404620944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862260807680).

1029404620944 is an abundant number, since it is smaller than the sum of its proper divisors (2695116994416).

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

1029404620944 is a wasteful number, since it uses less digits than its factorization.

1029404620944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1029404620944 in words is "one trillion, twenty-nine billion, four hundred four million, six hundred twenty thousand, nine hundred forty-four".