10203014432340 has 180 divisors, whose sum is σ = 32895681707196. Its totient is φ = 2647268034048.

The previous prime is 10203014432269. The next prime is 10203014432431. The reversal of 10203014432340 is 4323441030201.

10203014432340 is a `hidden beast` number, since 10 + 2 + 0 + 301 + 4 + 4 + 3 + 2 + 340 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 254869483716 + 9948144948624 = 504846^2 + 3154068^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 82497 + ... + 4518056.

Almost surely, 2^{10203014432340} is an apocalyptic number.

10203014432340 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 10203014432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16447840853598).

10203014432340 is an abundant number, since it is smaller than the sum of its proper divisors (22692667274856).

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

10203014432340 is a wasteful number, since it uses less digits than its factorization.

10203014432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4600648 (or 4600600 counting only the distinct ones).

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

Adding to 10203014432340 its reverse (4323441030201), we get a palindrome (14526455462541).

The spelling of 10203014432340 in words is "ten trillion, two hundred three billion, fourteen million, four hundred thirty-two thousand, three hundred forty".