1026410000 has 400 divisors, whose sum is σ = 3272552448. Its totient is φ = 302400000.

The previous prime is 1026409987. The next prime is 1026410023. The reversal of 1026410000 is 146201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23869979 + ... + 23870021.

Almost surely, 2^1026410000 is an apocalyptic number.

1026410000 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 1026410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636276224).

1026410000 is an abundant number, since it is smaller than the sum of its proper divisors (2246142448).

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

1026410000 is a wasteful number, since it uses less digits than its factorization.

1026410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1026410000 is about 32037.6341198909. The cubic root of 1026410000 is about 1008.7269520932.

Adding to 1026410000 its reverse (146201), we get a palindrome (1026556201).

The spelling of 1026410000 in words is "one billion, twenty-six million, four hundred ten thousand".