1029174481920 has 352 divisors, whose sum is σ = 3553711217280. Its totient is φ = 252710092800.

The previous prime is 1029174481913. The next prime is 1029174481927. The reversal of 1029174481920 is 291844719201.

It is an interprime number because it is at equal distance from previous prime (1029174481913) and next prime (1029174481927).

It is a super-2 number, since 2×1029174481920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1029174481920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029174481927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83659770 + ... + 83672070.

Almost surely, 2^{1029174481920} is an apocalyptic number.

1029174481920 is a gapful number since it is divisible by the number (10) 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 1029174481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776855608640).

1029174481920 is an abundant number, since it is smaller than the sum of its proper divisors (2524536735360).

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

1029174481920 is a wasteful number, since it uses less digits than its factorization.

1029174481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12761 (or 12743 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 1029174481920 in words is "one trillion, twenty-nine billion, one hundred seventy-four million, four hundred eighty-one thousand, nine hundred twenty".