400450002353505 has 144 divisors (see below), whose sum is σ = 753915716963136. Its totient is φ = 196541055659520.

The previous prime is 400450002353491. The next prime is 400450002353543. The reversal of 400450002353505 is 505353200054004.

400450002353505 is a `hidden beast` number, since 40 + 0 + 45 + 0 + 0 + 0 + 23 + 53 + 505 = 666.

It is not a de Polignac number, because 400450002353505 - 2⁷ = 400450002353377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400450002353505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20427986034 + ... + 20428005636.

It is an arithmetic number, because the mean of its divisors is an integer number (5235525812244).

Almost surely, 2^{400450002353505} is an apocalyptic number.

400450002353505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400450002353505 is a deficient number, since it is larger than the sum of its proper divisors (353465714609631).

400450002353505 is a wasteful number, since it uses less digits than its factorization.

400450002353505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27728 (or 27712 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 36.

The spelling of 400450002353505 in words is "four hundred trillion, four hundred fifty billion, two million, three hundred fifty-three thousand, five hundred five".