405494029440 has 384 divisors, whose sum is σ = 1430151465600. Its totient is φ = 105836544000.

The previous prime is 405494029351. The next prime is 405494029463. The reversal of 405494029440 is 44920494504.

405494029440 is a `hidden beast` number, since 4 + 0 + 549 + 40 + 29 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×405494029440² (a number of 24 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81898965 + ... + 81903915.

It is an arithmetic number, because the mean of its divisors is an integer number (3724352775).

Almost surely, 2^405494029440 is an apocalyptic number.

405494029440 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 405494029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715075732800).

405494029440 is an abundant number, since it is smaller than the sum of its proper divisors (1024657436160).

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

405494029440 is a wasteful number, since it uses less digits than its factorization.

405494029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 405494029440 in words is "four hundred five billion, four hundred ninety-four million, twenty-nine thousand, four hundred forty".