400220605440 has 528 divisors, whose sum is σ = 1432855457280. Its totient is φ = 103213301760.

The previous prime is 400220605439. The next prime is 400220605451. The reversal of 400220605440 is 44506022004.

400220605440 is a `hidden beast` number, since 40 + 0 + 2 + 20 + 60 + 544 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325646746 + ... + 325647974.

Almost surely, 2^400220605440 is an apocalyptic number.

400220605440 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 400220605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716427728640).

400220605440 is an abundant number, since it is smaller than the sum of its proper divisors (1032634851840).

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

400220605440 is a wasteful number, since it uses less digits than its factorization.

400220605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 400220605440 its reverse (44506022004), we get a palindrome (444726627444).

The spelling of 400220605440 in words is "four hundred billion, two hundred twenty million, six hundred five thousand, four hundred forty".