420240550400 has 180 divisors, whose sum is σ = 1144440413886. Its totient is φ = 152814182400.

The previous prime is 420240550349. The next prime is 420240550403. The reversal of 420240550400 is 4055042024.

It can be written as a sum of positive squares in 3 ways, for example, as 305216471296 + 115024079104 = 552464^2 + 339152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420240550400.

It is not an unprimeable number, because it can be changed into a prime (420240550403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1413134 + ... + 1684466.

Almost surely, 2^420240550400 is an apocalyptic number.

420240550400 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 420240550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572220206943).

420240550400 is an abundant number, since it is smaller than the sum of its proper divisors (724199863486).

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

420240550400 is a wasteful number, since it uses less digits than its factorization.

420240550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271383 (or 271351 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

Adding to 420240550400 its reverse (4055042024), we get a palindrome (424295592424).

The spelling of 420240550400 in words is "four hundred twenty billion, two hundred forty million, five hundred fifty thousand, four hundred".