10045446327840 has 1536 divisors, whose sum is σ = 44220661309440. Its totient is φ = 1852578201600.

The previous prime is 10045446327821. The next prime is 10045446327863. The reversal of 10045446327840 is 4872364454001.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10045446327840.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 783508630 + ... + 783521450.

It is an arithmetic number, because the mean of its divisors is an integer number (28789493040).

Almost surely, 2^{10045446327840} is an apocalyptic number.

10045446327840 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 10045446327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22110330654720).

10045446327840 is an abundant number, since it is smaller than the sum of its proper divisors (34175214981600).

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

10045446327840 is a wasteful number, since it uses less digits than its factorization.

10045446327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12946 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 10045446327840 in words is "ten trillion, forty-five billion, four hundred forty-six million, three hundred twenty-seven thousand, eight hundred forty".