406465870440 has 128 divisors (see below), whose sum is σ = 1394233378560. Its totient is φ = 92864077824.

The previous prime is 406465870439. The next prime is 406465870453. The reversal of 406465870440 is 44078564604.

It is a self number, because there is not a number n which added to its sum of digits gives 406465870440.

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 31 ways as a sum of consecutive naturals, for example, 1749592 + ... + 1968248.

It is an arithmetic number, because the mean of its divisors is an integer number (10892448270).

Almost surely, 2^406465870440 is an apocalyptic number.

406465870440 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 406465870440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697116689280).

406465870440 is an abundant number, since it is smaller than the sum of its proper divisors (987767508120).

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

406465870440 is a wasteful number, since it uses less digits than its factorization.

406465870440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220891 (or 220887 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 406465870440 in words is "four hundred six billion, four hundred sixty-five million, eight hundred seventy thousand, four hundred forty".