10245443351400 has 576 divisors, whose sum is σ = 36774510864000. Its totient is φ = 2548873267200.

The previous prime is 10245443351387. The next prime is 10245443351441. The reversal of 10245443351400 is 415334454201.

10245443351400 is a `hidden beast` number, since 1 + 0 + 2 + 45 + 443 + 35 + 140 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 637582566 + ... + 637598634.

Almost surely, 2^{10245443351400} is an apocalyptic number.

10245443351400 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 10245443351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18387255432000).

10245443351400 is an abundant number, since it is smaller than the sum of its proper divisors (26529067512600).

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

10245443351400 is a wasteful number, since it uses less digits than its factorization.

10245443351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394 (or 16382 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 10245443351400 in words is "ten trillion, two hundred forty-five billion, four hundred forty-three million, three hundred fifty-one thousand, four hundred".