420340420400 has 120 divisors (see below), whose sum is σ = 1064625383424. Its totient is φ = 159250233600.

The previous prime is 420340420397. The next prime is 420340420439. The reversal of 420340420400 is 4024043024.

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, 222179 + ... + 943421.

Almost surely, 2^420340420400 is an apocalyptic number.

420340420400 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 420340420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532312691712).

420340420400 is an abundant number, since it is smaller than the sum of its proper divisors (644284963024).

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

420340420400 is a wasteful number, since it uses less digits than its factorization.

420340420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721339 (or 721328 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 420340420400 its reverse (4024043024), we get a palindrome (424364463424).

The spelling of 420340420400 in words is "four hundred twenty billion, three hundred forty million, four hundred twenty thousand, four hundred".