10260706244400 has 480 divisors, whose sum is σ = 38567576517120. Its totient is φ = 2585685611520.

The previous prime is 10260706244339. The next prime is 10260706244407. The reversal of 10260706244400 is 444260706201.

10260706244400 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 0 + 7 + 0 + 6 + 244 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10260706244407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20368362 + ... + 20866038.

It is an arithmetic number, because the mean of its divisors is an integer number (80349117744).

Almost surely, 2^{10260706244400} is an apocalyptic number.

10260706244400 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 10260706244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19283788258560).

10260706244400 is an abundant number, since it is smaller than the sum of its proper divisors (28306870272720).

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

10260706244400 is a wasteful number, since it uses less digits than its factorization.

10260706244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497810 (or 497793 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 10260706244400 in words is "ten trillion, two hundred sixty billion, seven hundred six million, two hundred forty-four thousand, four hundred".