420224120640 has 448 divisors, whose sum is σ = 1571524416000. Its totient is φ = 105342861312.

The previous prime is 420224120633. The next prime is 420224120663. The reversal of 420224120640 is 46021422024.

420224120640 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 2 + 4 + 12 + 0 + 640 = 666.

It is a super-2 number, since 2×420224120640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227516197 + ... + 227518043.

It is an arithmetic number, because the mean of its divisors is an integer number (3507867000).

Almost surely, 2^420224120640 is an apocalyptic number.

420224120640 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 420224120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785762208000).

420224120640 is an abundant number, since it is smaller than the sum of its proper divisors (1151300295360).

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

420224120640 is a wasteful number, since it uses less digits than its factorization.

420224120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 420224120640 its reverse (46021422024), we get a palindrome (466245542664).

The spelling of 420224120640 in words is "four hundred twenty billion, two hundred twenty-four million, one hundred twenty thousand, six hundred forty".