245120414406 has 64 divisors (see below), whose sum is σ = 586162372608. Its totient is φ = 66814422048.

The previous prime is 245120414401. The next prime is 245120414431. The reversal of 245120414406 is 604414021542.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245120414401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38715 + ... + 701241.

It is an arithmetic number, because the mean of its divisors is an integer number (9158787072).

Almost surely, 2^245120414406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245120414406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293081186304).

245120414406 is an abundant number, since it is smaller than the sum of its proper divisors (341041958202).

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

245120414406 is a wasteful number, since it uses less digits than its factorization.

245120414406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662945.

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 245120414406 its reverse (604414021542), we get a palindrome (849534435948).

It can be divided in two parts, 245120 and 414406, that added together give a triangular number (659526 = T₁₁₄₈).

The spelling of 245120414406 in words is "two hundred forty-five billion, one hundred twenty million, four hundred fourteen thousand, four hundred six".