409782151125 has 96 divisors (see below), whose sum is σ = 750555093600. Its totient is φ = 215057203200.

The previous prime is 409782151111. The next prime is 409782151127. The reversal of 409782151125 is 521151287904.

409782151125 is a `hidden beast` number, since 4 + 0 + 97 + 8 + 21 + 511 + 25 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 373215915396 + 36566235729 = 610914^2 + 191223^2 .

It is not a de Polignac number, because 409782151125 - 2⁴ = 409782151109 is a prime.

It is a super-2 number, since 2×409782151125² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409782151127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36868569 + ... + 36879681.

It is an arithmetic number, because the mean of its divisors is an integer number (7818282225).

Almost surely, 2^409782151125 is an apocalyptic number.

409782151125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409782151125 is a deficient number, since it is larger than the sum of its proper divisors (340772942475).

409782151125 is a wasteful number, since it uses less digits than its factorization.

409782151125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 409782151125 in words is "four hundred nine billion, seven hundred eighty-two million, one hundred fifty-one thousand, one hundred twenty-five".