420034201040 has 40 divisors (see below), whose sum is σ = 977263184040. Its totient is φ = 167896060416.

The previous prime is 420034201021. The next prime is 420034201049. The reversal of 420034201040 is 40102430024.

It can be written as a sum of positive squares in 4 ways, for example, as 321987136 + 419712213904 = 17944^2 + 647852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×420034201040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420034201049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722779 + ... + 1951418.

It is an arithmetic number, because the mean of its divisors is an integer number (24431579601).

Almost surely, 2^420034201040 is an apocalyptic number.

420034201040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420034201040 is an abundant number, since it is smaller than the sum of its proper divisors (557228983000).

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

420034201040 is a wasteful number, since it uses less digits than its factorization.

420034201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675639 (or 3675633 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 420034201040 its reverse (40102430024), we get a palindrome (460136631064).

The spelling of 420034201040 in words is "four hundred twenty billion, thirty-four million, two hundred one thousand, forty".