10345720213440 has 224 divisors, whose sum is σ = 36503522949120. Its totient is φ = 2758396032000.

The previous prime is 10345720213373. The next prime is 10345720213463. The reversal of 10345720213440 is 4431202754301.

10345720213440 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 5 + 7 + 202 + 1 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10345720213395 and 10345720213404.

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, 53047305 + ... + 53241975.

Almost surely, 2^{10345720213440} is an apocalyptic number.

10345720213440 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 10345720213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251761474560).

10345720213440 is an abundant number, since it is smaller than the sum of its proper divisors (26157802735680).

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

10345720213440 is a wasteful number, since it uses less digits than its factorization.

10345720213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200848 (or 200832 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 10345720213440 its reverse (4431202754301), we get a palindrome (14776922967741).

The spelling of 10345720213440 in words is "ten trillion, three hundred forty-five billion, seven hundred twenty million, two hundred thirteen thousand, four hundred forty".