406259732736 has 756 divisors, whose sum is σ = 1437477347376. Its totient is φ = 113542041600.

The previous prime is 406259732657. The next prime is 406259732771. The reversal of 406259732736 is 637237952604.

406259732736 is a `hidden beast` number, since 4 + 0 + 625 + 9 + 7 + 3 + 2 + 7 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 346933431 + ... + 346934601.

Almost surely, 2^406259732736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406259732736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718738673688).

406259732736 is an abundant number, since it is smaller than the sum of its proper divisors (1031217614640).

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

406259732736 is a wasteful number, since it uses less digits than its factorization.

406259732736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 406259732736 in words is "four hundred six billion, two hundred fifty-nine million, seven hundred thirty-two thousand, seven hundred thirty-six".