420011040 has 96 divisors (see below), whose sum is σ = 1325963520. Its totient is φ = 111755264.

The previous prime is 420010967. The next prime is 420011069. The reversal of 420011040 is 40110024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344512 + ... + 345728.

It is an arithmetic number, because the mean of its divisors is an integer number (13812120).

Almost surely, 2^420011040 is an apocalyptic number.

420011040 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 420011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662981760).

420011040 is an abundant number, since it is smaller than the sum of its proper divisors (905952480).

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

420011040 is a wasteful number, since it uses less digits than its factorization.

420011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 420011040 is about 20494.1708785693. The cubic root of 420011040 is about 748.8938003430.

Adding to 420011040 its reverse (40110024), we get a palindrome (460121064).

The spelling of 420011040 in words is "four hundred twenty million, eleven thousand, forty".