420215040 has 432 divisors, whose sum is σ = 1732069248. Its totient is φ = 95551488.

The previous prime is 420215011. The next prime is 420215041. The reversal of 420215040 is 40512024.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (420215041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177184 + ... + 2177376.

Almost surely, 2^420215040 is an apocalyptic number.

420215040 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 420215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866034624).

420215040 is an abundant number, since it is smaller than the sum of its proper divisors (1311854208).

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

420215040 is an equidigital number, since it uses as much as digits as its factorization.

420215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 420215040 is about 20499.1472993391. The cubic root of 420215040 is about 749.0150270039.

Adding to 420215040 its reverse (40512024), we get a palindrome (460727064).

The spelling of 420215040 in words is "four hundred twenty million, two hundred fifteen thousand, forty".