10445426006400 has 1152 divisors, whose sum is σ = 48489190064640. Its totient is φ = 2076099379200.

The previous prime is 10445426006399. The next prime is 10445426006441. The reversal of 10445426006400 is 460062454401.

10445426006400 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 5 + 4 + 2 + 6 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50902404 + ... + 51107196.

It is an arithmetic number, because the mean of its divisors is an integer number (42091310820).

Almost surely, 2^{10445426006400} is an apocalyptic number.

10445426006400 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 10445426006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24244595032320).

10445426006400 is an abundant number, since it is smaller than the sum of its proper divisors (38043764058240).

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

10445426006400 is a wasteful number, since it uses less digits than its factorization.

10445426006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204864 (or 204844 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 10445426006400 in words is "ten trillion, four hundred forty-five billion, four hundred twenty-six million, six thousand, four hundred".