406040271840 has 576 divisors, whose sum is σ = 1650349209600. Its totient is φ = 90829347840.

The previous prime is 406040271809. The next prime is 406040271859. The reversal of 406040271840 is 48172040604.

406040271840 is a `hidden beast` number, since 4 + 0 + 604 + 0 + 2 + 7 + 1 + 8 + 40 = 666.

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 = 406040271795 and 406040271804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23205495 + ... + 23222985.

It is an arithmetic number, because the mean of its divisors is an integer number (2865189600).

Almost surely, 2^406040271840 is an apocalyptic number.

406040271840 is a gapful number since it is divisible by the number (40) 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 406040271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825174604800).

406040271840 is an abundant number, since it is smaller than the sum of its proper divisors (1244308937760).

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

406040271840 is a wasteful number, since it uses less digits than its factorization.

406040271840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17580 (or 17555 counting only the distinct ones).

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

The spelling of 406040271840 in words is "four hundred six billion, forty million, two hundred seventy-one thousand, eight hundred forty".