420513500000 has 336 divisors, whose sum is σ = 1141604449776. Its totient is φ = 151200000000.

The previous prime is 420513499999. The next prime is 420513500027. The reversal of 420513500000 is 5315024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 555499622 + ... + 555500378.

It is an arithmetic number, because the mean of its divisors is an integer number (3397632291).

Almost surely, 2^420513500000 is an apocalyptic number.

420513500000 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 420513500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570802224888).

420513500000 is an abundant number, since it is smaller than the sum of its proper divisors (721090949776).

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

420513500000 is an equidigital number, since it uses as much as digits as its factorization.

420513500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 420513500000 its reverse (5315024), we get a palindrome (420518815024).

The spelling of 420513500000 in words is "four hundred twenty billion, five hundred thirteen million, five hundred thousand".