10406482740 has 72 divisors (see below), whose sum is σ = 31582424328. Its totient is φ = 2773647360.

The previous prime is 10406482727. The next prime is 10406482741. The reversal of 10406482740 is 4728460401.

10406482740 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 648 + 2 + 7 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34596 + 10406448144 = 186^2 + 102012^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 10406482695 and 10406482704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406482741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366660 + ... + 394020.

Almost surely, 2^10406482740 is an apocalyptic number.

10406482740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406482740 is an abundant number, since it is smaller than the sum of its proper divisors (21175941588).

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

10406482740 is a wasteful number, since it uses less digits than its factorization.

10406482740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29489 (or 29484 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 10406482740 in words is "ten billion, four hundred six million, four hundred eighty-two thousand, seven hundred forty".