405356901642 has 96 divisors (see below), whose sum is σ = 1159401320064. Its totient is φ = 99094118400.

The previous prime is 405356901619. The next prime is 405356901647. The reversal of 405356901642 is 246109653504.

405356901642 is a `hidden beast` number, since 4 + 0 + 535 + 69 + 0 + 16 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (405356901647) by changing a digit.

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, 8578359 + ... + 8625482.

It is an arithmetic number, because the mean of its divisors is an integer number (12077097084).

Almost surely, 2^405356901642 is an apocalyptic number.

405356901642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

405356901642 is an abundant number, since it is smaller than the sum of its proper divisors (754044418422).

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

405356901642 is a wasteful number, since it uses less digits than its factorization.

405356901642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17203884 (or 17203881 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 405356901642 in words is "four hundred five billion, three hundred fifty-six million, nine hundred one thousand, six hundred forty-two".