420131040 has 192 divisors, whose sum is σ = 1592317440. Its totient is φ = 90961920.

The previous prime is 420131039. The next prime is 420131051. The reversal of 420131040 is 40131024.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 60550 + ... + 67130.

It is an arithmetic number, because the mean of its divisors is an integer number (8293320).

Almost surely, 2^420131040 is an apocalyptic number.

420131040 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 420131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796158720).

420131040 is an abundant number, since it is smaller than the sum of its proper divisors (1172186400).

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

420131040 is a wasteful number, since it uses less digits than its factorization.

420131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6617 counting only the distinct ones).

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

The square root of 420131040 is about 20497.0983312273. The cubic root of 420131040 is about 748.9651148961.

Adding to 420131040 its reverse (40131024), we get a palindrome (460262064).

The spelling of 420131040 in words is "four hundred twenty million, one hundred thirty-one thousand, forty".