420838134400 has 96 divisors (see below), whose sum is σ = 1047191128380. Its totient is φ = 167106355200.

The previous prime is 420838134397. The next prime is 420838134401. The reversal of 420838134400 is 4431838024.

It can be written as a sum of positive squares in 6 ways, for example, as 223638193216 + 197199941184 = 472904^2 + 444072^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420838134400.

It is not an unprimeable number, because it can be changed into a prime (420838134401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41571 + ... + 918370.

Almost surely, 2^420838134400 is an apocalyptic number.

420838134400 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 420838134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523595564190).

420838134400 is an abundant number, since it is smaller than the sum of its proper divisors (626352993980).

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

420838134400 is a wasteful number, since it uses less digits than its factorization.

420838134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960102 (or 960085 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 420838134400 in words is "four hundred twenty billion, eight hundred thirty-eight million, one hundred thirty-four thousand, four hundred".