406229761440 has 960 divisors, whose sum is σ = 1628916791040. Its totient is φ = 94715412480.

The previous prime is 406229761393. The next prime is 406229761451. The reversal of 406229761440 is 44167922604.

406229761440 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 29 + 7 + 614 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 221861325 + ... + 221863155.

It is an arithmetic number, because the mean of its divisors is an integer number (1696788324).

Almost surely, 2^406229761440 is an apocalyptic number.

406229761440 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 406229761440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814458395520).

406229761440 is an abundant number, since it is smaller than the sum of its proper divisors (1222687029600).

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

406229761440 is a wasteful number, since it uses less digits than its factorization.

406229761440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1947 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 406229761440 in words is "four hundred six billion, two hundred twenty-nine million, seven hundred sixty-one thousand, four hundred forty".