10414255320 has 512 divisors, whose sum is σ = 42095001600. Its totient is φ = 2239488000.

The previous prime is 10414255303. The next prime is 10414255487. The reversal of 10414255320 is 2355241401.

10414255320 is a `hidden beast` number, since 10 + 41 + 42 + 553 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 8670720 + ... + 8671920.

It is an arithmetic number, because the mean of its divisors is an integer number (82216800).

Almost surely, 2^10414255320 is an apocalyptic number.

10414255320 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 10414255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047500800).

10414255320 is an abundant number, since it is smaller than the sum of its proper divisors (31680746280).

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

10414255320 is a wasteful number, since it uses less digits than its factorization.

10414255320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10414255320 its reverse (2355241401), we get a palindrome (12769496721).

The spelling of 10414255320 in words is "ten billion, four hundred fourteen million, two hundred fifty-five thousand, three hundred twenty".