420113040 has 80 divisors (see below), whose sum is σ = 1324468800. Its totient is φ = 110127616.

The previous prime is 420113021. The next prime is 420113041. The reversal of 420113040 is 40311024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (420113041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675 + ... + 28994.

It is an arithmetic number, because the mean of its divisors is an integer number (16555860).

Almost surely, 2^420113040 is an apocalyptic number.

420113040 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 420113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662234400).

420113040 is an abundant number, since it is smaller than the sum of its proper divisors (904355760).

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

420113040 is a wasteful number, since it uses less digits than its factorization.

420113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29744 (or 29738 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 420113040 is about 20496.6592399835. The cubic root of 420113040 is about 748.9544185789.

Adding to 420113040 its reverse (40311024), we get a palindrome (460424064).

The spelling of 420113040 in words is "four hundred twenty million, one hundred thirteen thousand, forty".