420310244400 has 120 divisors (see below), whose sum is σ = 1347703693824. Its totient is φ = 111973689600.

The previous prime is 420310244399. The next prime is 420310244449. The reversal of 420310244400 is 4442013024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1067337 + ... + 1407063.

Almost surely, 2^420310244400 is an apocalyptic number.

420310244400 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 420310244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673851846912).

420310244400 is an abundant number, since it is smaller than the sum of its proper divisors (927393449424).

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

420310244400 is a wasteful number, since it uses less digits than its factorization.

420310244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340779 (or 340768 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 420310244400 its reverse (4442013024), we get a palindrome (424752257424).

The spelling of 420310244400 in words is "four hundred twenty billion, three hundred ten million, two hundred forty-four thousand, four hundred".