405726041640 has 256 divisors, whose sum is σ = 1317276172800. Its totient is φ = 99663872000.

The previous prime is 405726041627. The next prime is 405726041659. The reversal of 405726041640 is 46140627504.

It is a super-2 number, since 2×405726041640² (a number of 24 digits) contains 22 as substring.

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, 32089720 + ... + 32102360.

It is an arithmetic number, because the mean of its divisors is an integer number (5145610050).

Almost surely, 2^405726041640 is an apocalyptic number.

405726041640 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 405726041640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658638086400).

405726041640 is an abundant number, since it is smaller than the sum of its proper divisors (911550131160).

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

405726041640 is a wasteful number, since it uses less digits than its factorization.

405726041640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13108 (or 13104 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 405726041640 in words is "four hundred five billion, seven hundred twenty-six million, forty-one thousand, six hundred forty".