420101040 has 80 divisors (see below), whose sum is σ = 1330057728. Its totient is φ = 109640448.

The previous prime is 420101023. The next prime is 420101069. The reversal of 420101040 is 40101024.

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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7342 + ... + 29901.

Almost surely, 2^420101040 is an apocalyptic number.

420101040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420101040 is an abundant number, since it is smaller than the sum of its proper divisors (909956688).

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

420101040 is a wasteful number, since it uses less digits than its factorization.

420101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37306 (or 37300 counting only the distinct ones).

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

The square root of 420101040 is about 20496.3665072617. The cubic root of 420101040 is about 748.9472875311.

Adding to 420101040 its reverse (40101024), we get a palindrome (460202064).

The spelling of 420101040 in words is "four hundred twenty million, one hundred one thousand, forty".