10281479040 has 640 divisors, whose sum is σ = 43453713600. Its totient is φ = 2266693632.

The previous prime is 10281479029. The next prime is 10281479077. The reversal of 10281479040 is 4097418201.

10281479040 is a `hidden beast` number, since 102 + 81 + 479 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10281479040² (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 junction number, because it is equal to n+sod(n) for n = 10281478986 and 10281479004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10523032 + ... + 10524008.

Almost surely, 2^10281479040 is an apocalyptic number.

10281479040 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 10281479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21726856800).

10281479040 is an abundant number, since it is smaller than the sum of its proper divisors (33172234560).

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

10281479040 is an equidigital number, since it uses as much as digits as its factorization.

10281479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10281479040 in words is "ten billion, two hundred eighty-one million, four hundred seventy-nine thousand, forty".