10414300000 has 144 divisors (see below), whose sum is σ = 27602077104. Its totient is φ = 3844800000.

The previous prime is 10414299967. The next prime is 10414300051. The reversal of 10414300000 is 341401.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1295995 + ... + 1304005.

It is an arithmetic number, because the mean of its divisors is an integer number (191681091).

Almost surely, 2^10414300000 is an apocalyptic number.

10414300000 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 10414300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801038552).

10414300000 is an abundant number, since it is smaller than the sum of its proper divisors (17187777104).

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

10414300000 is an frugal number, since it uses more digits than its factorization.

10414300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8031 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10414300000 its reverse (341401), we get a palindrome (10414641401).

The spelling of 10414300000 in words is "ten billion, four hundred fourteen million, three hundred thousand".