1026041472 has 256 divisors, whose sum is σ = 3197414400. Its totient is φ = 323481600.

The previous prime is 1026041407. The next prime is 1026041473. The reversal of 1026041472 is 2741406201.

1026041472 is a `hidden beast` number, since 10 + 2 + 604 + 1 + 47 + 2 = 666.

It is a super-2 number, since 2×1026041472² = 2105522204527853568, which contains 22 as substring.

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 (1026041473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6535218 + ... + 6535374.

It is an arithmetic number, because the mean of its divisors is an integer number (12489900).

Almost surely, 2^1026041472 is an apocalyptic number.

1026041472 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 1026041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598707200).

1026041472 is an abundant number, since it is smaller than the sum of its proper divisors (2171372928).

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

1026041472 is a wasteful number, since it uses less digits than its factorization.

1026041472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1026041472 is about 32031.8821176652. The cubic root of 1026041472 is about 1008.6062113151.

Adding to 1026041472 its reverse (2741406201), we get a palindrome (3767447673).

The spelling of 1026041472 in words is "one billion, twenty-six million, forty-one thousand, four hundred seventy-two".