405457341840 has 240 divisors, whose sum is σ = 1423262655360. Its totient is φ = 103246387200.

The previous prime is 405457341833. The next prime is 405457341851. The reversal of 405457341840 is 48143754504.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×405457341840² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9932191 + ... + 9972929.

It is an arithmetic number, because the mean of its divisors is an integer number (5930261064).

Almost surely, 2^405457341840 is an apocalyptic number.

405457341840 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 405457341840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711631327680).

405457341840 is an abundant number, since it is smaller than the sum of its proper divisors (1017805313520).

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

405457341840 is a wasteful number, since it uses less digits than its factorization.

405457341840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41382 (or 41373 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 405457341840 in words is "four hundred five billion, four hundred fifty-seven million, three hundred forty-one thousand, eight hundred forty".