420415040000 has 100 divisors (see below), whose sum is σ = 1049675991474. Its totient is φ = 168165888000.

The previous prime is 420415039999. The next prime is 420415040021. The reversal of 420415040000 is 40514024.

It can be written as a sum of positive squares in 5 ways, for example, as 656179456 + 419758860544 = 25616^2 + 647888^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 336899 + ... + 976898.

Almost surely, 2^420415040000 is an apocalyptic number.

420415040000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420415040000 is an abundant number, since it is smaller than the sum of its proper divisors (629260951474).

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

420415040000 is an frugal number, since it uses more digits than its factorization.

420415040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313835 (or 1313804 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 420415040000 its reverse (40514024), we get a palindrome (420455554024).

The spelling of 420415040000 in words is "four hundred twenty billion, four hundred fifteen million, forty thousand".