420416052000 has 1536 divisors, whose sum is σ = 1751038248960. Its totient is φ = 85996339200.

The previous prime is 420416051987. The next prime is 420416052011. The reversal of 420416052000 is 250614024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3857027946 + ... + 3857028054.

It is an arithmetic number, because the mean of its divisors is an integer number (1139998860).

Almost surely, 2^420416052000 is an apocalyptic number.

420416052000 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 420416052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875519124480).

420416052000 is an abundant number, since it is smaller than the sum of its proper divisors (1330622196960).

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

420416052000 is a wasteful number, since it uses less digits than its factorization.

420416052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 420416052000 its reverse (250614024), we get a palindrome (420666666024).

The spelling of 420416052000 in words is "four hundred twenty billion, four hundred sixteen million, fifty-two thousand".