400454400350240 has 48 divisors (see below), whose sum is σ = 946074993351768. Its totient is φ = 160181510823936.

The previous prime is 400454400350083. The next prime is 400454400350281. The reversal of 400454400350240 is 42053004454004.

It can be written as a sum of positive squares in 4 ways, for example, as 179667966624784 + 220786433725456 = 13404028^2 + 14858884^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 400454400350240.

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 7 ways as a sum of consecutive naturals, for example, 128306474 + ... + 131390486.

Almost surely, 2^{400454400350240} is an apocalyptic number.

400454400350240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400454400350240 is an abundant number, since it is smaller than the sum of its proper divisors (545620593001528).

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

400454400350240 is a wasteful number, since it uses less digits than its factorization.

400454400350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895581 (or 3895573 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The spelling of 400454400350240 in words is "four hundred trillion, four hundred fifty-four billion, four hundred million, three hundred fifty thousand, two hundred forty".