405126301640 has 128 divisors (see below), whose sum is σ = 973692057600. Its totient is φ = 151173427200.

The previous prime is 405126301637. The next prime is 405126301693. The reversal of 405126301640 is 46103621504.

It is a junction number, because it is equal to n+sod(n) for n = 405126301597 and 405126301606.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49179602 + ... + 49187838.

It is an arithmetic number, because the mean of its divisors is an integer number (7606969200).

Almost surely, 2^405126301640 is an apocalyptic number.

405126301640 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 405126301640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486846028800).

405126301640 is an abundant number, since it is smaller than the sum of its proper divisors (568565755960).

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

405126301640 is a wasteful number, since it uses less digits than its factorization.

405126301640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8895 (or 8891 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 405126301640 in words is "four hundred five billion, one hundred twenty-six million, three hundred one thousand, six hundred forty".