10300214340432 has 160 divisors (see below), whose sum is σ = 29752674278400. Its totient is φ = 3411728062848.

The previous prime is 10300214340421. The next prime is 10300214340443. The reversal of 10300214340432 is 23404341200301.

10300214340432 is a `hidden beast` number, since 1 + 0 + 300 + 2 + 14 + 340 + 4 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10300214340421) and next prime (10300214340443).

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

It is a junction number, because it is equal to n+sod(n) for n = 10300214340396 and 10300214340405.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 43772563 + ... + 44007245.

It is an arithmetic number, because the mean of its divisors is an integer number (185954214240).

Almost surely, 2^{10300214340432} is an apocalyptic number.

10300214340432 is a gapful number since it is divisible by the number (12) 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 10300214340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14876337139200).

10300214340432 is an abundant number, since it is smaller than the sum of its proper divisors (19452459937968).

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

10300214340432 is a wasteful number, since it uses less digits than its factorization.

10300214340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235342 (or 235330 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10300214340432 its reverse (23404341200301), we get a palindrome (33704555540733).

The spelling of 10300214340432 in words is "ten trillion, three hundred billion, two hundred fourteen million, three hundred forty thousand, four hundred thirty-two".