420130032036 has 384 divisors, whose sum is σ = 1247320166400. Its totient is φ = 108173936640.

The previous prime is 420130031999. The next prime is 420130032037. The reversal of 420130032036 is 630230031024.

It is a junction number, because it is equal to n+sod(n) for n = 420130031997 and 420130032015.

It is not an unprimeable number, because it can be changed into a prime (420130032037) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 637526275 + ... + 637526933.

It is an arithmetic number, because the mean of its divisors is an integer number (3248229600).

Almost surely, 2^420130032036 is an apocalyptic number.

420130032036 is a gapful number since it is divisible by the number (46) 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 420130032036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623660083200).

420130032036 is an abundant number, since it is smaller than the sum of its proper divisors (827190134364).

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

420130032036 is a wasteful number, since it uses less digits than its factorization.

420130032036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The spelling of 420130032036 in words is "four hundred twenty billion, one hundred thirty million, thirty-two thousand, thirty-six".