10405312783488 has 864 divisors, whose sum is σ = 37131027045840. Its totient is φ = 2892016576512.

The previous prime is 10405312783487. The next prime is 10405312783499. The reversal of 10405312783488 is 88438721350401.

10405312783488 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 531 + 2 + 78 + 34 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×10405312783488² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10405312783487) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2086484931 + ... + 2086489917.

Almost surely, 2^{10405312783488} is an apocalyptic number.

10405312783488 is a gapful number since it is divisible by the number (18) 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 10405312783488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18565513522920).

10405312783488 is an abundant number, since it is smaller than the sum of its proper divisors (26725714262352).

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

10405312783488 is an frugal number, since it uses more digits than its factorization.

10405312783488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 10405312783488 in words is "ten trillion, four hundred five billion, three hundred twelve million, seven hundred eighty-three thousand, four hundred eighty-eight".