405054977149440 has 480 divisors, whose sum is σ = 1478624496725376. Its totient is φ = 106243918479360.

The previous prime is 405054977149439. The next prime is 405054977149447. The reversal of 405054977149440 is 44941779450504.

It is a happy number.

405054977149440 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 5 + 49 + 7 + 7 + 149 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (405054977149447) by changing a digit.

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, 32609749 + ... + 43284011.

Almost surely, 2^{405054977149440} is an apocalyptic number.

405054977149440 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 405054977149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739312248362688).

405054977149440 is an abundant number, since it is smaller than the sum of its proper divisors (1073569519575936).

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

405054977149440 is an equidigital number, since it uses as much as digits as its factorization.

405054977149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10674362 (or 10674334 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 405054977149440 in words is "four hundred five trillion, fifty-four billion, nine hundred seventy-seven million, one hundred forty-nine thousand, four hundred forty".