406440733440 has 576 divisors, whose sum is σ = 1539122973696. Its totient is φ = 89478660096.

The previous prime is 406440733427. The next prime is 406440733453. The reversal of 406440733440 is 44337044604.

406440733440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (406440733427) and next prime (406440733453).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84373912 + ... + 84378728.

It is an arithmetic number, because the mean of its divisors is an integer number (2672088496).

Almost surely, 2^406440733440 is an apocalyptic number.

406440733440 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 406440733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769561486848).

406440733440 is an abundant number, since it is smaller than the sum of its proper divisors (1132682240256).

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

406440733440 is a wasteful number, since it uses less digits than its factorization.

406440733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4964 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 39.

The spelling of 406440733440 in words is "four hundred six billion, four hundred forty million, seven hundred thirty-three thousand, four hundred forty".