10420410000 has 800 divisors, whose sum is σ = 45295100928. Its totient is φ = 1992960000.

The previous prime is 10420409957. The next prime is 10420410037. The reversal of 10420410000 is 1402401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30029827 + ... + 30030173.

Almost surely, 2^10420410000 is an apocalyptic number.

10420410000 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 10420410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22647550464).

10420410000 is an abundant number, since it is smaller than the sum of its proper divisors (34874690928).

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

10420410000 is a wasteful number, since it uses less digits than its factorization.

10420410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10420410000 its reverse (1402401), we get a palindrome (10421812401).

The spelling of 10420410000 in words is "ten billion, four hundred twenty million, four hundred ten thousand".