10445811840 has 512 divisors, whose sum is σ = 39745728000. Its totient is φ = 2615721984.

The previous prime is 10445811809. The next prime is 10445811877. The reversal of 10445811840 is 4811854401.

It is a super-2 number, since 2×10445811840² (a number of 21 digits) contains 22 as substring.

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10445811795 and 10445811804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23794341 + ... + 23794779.

It is an arithmetic number, because the mean of its divisors is an integer number (77628375).

Almost surely, 2^10445811840 is an apocalyptic number.

10445811840 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 10445811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872864000).

10445811840 is an abundant number, since it is smaller than the sum of its proper divisors (29299916160).

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

10445811840 is an frugal number, since it uses more digits than its factorization.

10445811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 10445811840 in words is "ten billion, four hundred forty-five million, eight hundred eleven thousand, eight hundred forty".