405410429025 has 216 divisors, whose sum is σ = 904250290944. Its totient is φ = 179347996800.

The previous prime is 405410428979. The next prime is 405410429089. The reversal of 405410429025 is 520924014504.

It is a happy number.

405410429025 is a `hidden beast` number, since 4 + 0 + 541 + 0 + 4 + 2 + 90 + 25 = 666.

It is not a de Polignac number, because 405410429025 - 2⁶ = 405410428961 is a prime.

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 215 ways as a sum of consecutive naturals, for example, 9205959 + ... + 9249891.

Almost surely, 2^405410429025 is an apocalyptic number.

405410429025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

405410429025 is an abundant number, since it is smaller than the sum of its proper divisors (498839861919).

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

405410429025 is a wasteful number, since it uses less digits than its factorization.

405410429025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44003 (or 43979 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 405410429025 in words is "four hundred five billion, four hundred ten million, four hundred twenty-nine thousand, twenty-five".