10302410400414 has 32 divisors (see below), whose sum is σ = 22612585072896. Its totient is φ = 3103248275520.

The previous prime is 10302410400389. The next prime is 10302410400419. The reversal of 10302410400414 is 41400401420301.

It is a super-2 number, since 2×10302410400414² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302410400419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467345647 + ... + 467367690.

It is an arithmetic number, because the mean of its divisors is an integer number (706643283528).

Almost surely, 2^{10302410400414} is an apocalyptic number.

10302410400414 is an abundant number, since it is smaller than the sum of its proper divisors (12310174672482).

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

10302410400414 is a wasteful number, since it uses less digits than its factorization.

10302410400414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934713520.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10302410400414 its reverse (41400401420301), we get a palindrome (51702811820715).

The spelling of 10302410400414 in words is "ten trillion, three hundred two billion, four hundred ten million, four hundred thousand, four hundred fourteen".