400305420000 has 720 divisors, whose sum is σ = 1457793569232. Its totient is φ = 104140800000.

The previous prime is 400305419957. The next prime is 400305420013. The reversal of 400305420000 is 24503004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1763459887 + ... + 1763460113.

Almost surely, 2^400305420000 is an apocalyptic number.

400305420000 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 400305420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728896784616).

400305420000 is an abundant number, since it is smaller than the sum of its proper divisors (1057488149232).

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

400305420000 is a wasteful number, since it uses less digits than its factorization.

400305420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 400305420000 its reverse (24503004), we get a palindrome (400329923004).

The spelling of 400305420000 in words is "four hundred billion, three hundred five million, four hundred twenty thousand".