405427958691840 has 1920 divisors, whose sum is σ = 1788862211136000. Its totient is φ = 85749243052032.

The previous prime is 405427958691809. The next prime is 405427958691869. The reversal of 405427958691840 is 48196859724504.

It is a happy number.

405427958691840 is a `hidden beast` number, since 4 + 0 + 5 + 4 + 27 + 9 + 586 + 9 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4743524626 + ... + 4743610094.

It is an arithmetic number, because the mean of its divisors is an integer number (931699068300).

Almost surely, 2^{405427958691840} is an apocalyptic number.

405427958691840 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 405427958691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894431105568000).

405427958691840 is an abundant number, since it is smaller than the sum of its proper divisors (1383434252444160).

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

405427958691840 is a wasteful number, since it uses less digits than its factorization.

405427958691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85577 (or 85548 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 405427958691840 in words is "four hundred five trillion, four hundred twenty-seven billion, nine hundred fifty-eight million, six hundred ninety-one thousand, eight hundred forty".