420279420288 has 512 divisors, whose sum is σ = 1414665907200. Its totient is φ = 107589795840.

The previous prime is 420279420277. The next prime is 420279420311. The reversal of 420279420288 is 882024972024.

It is a super-2 number, since 2×420279420288² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 333819403 + ... + 333820661.

It is an arithmetic number, because the mean of its divisors is an integer number (2763019350).

Almost surely, 2^420279420288 is an apocalyptic number.

420279420288 is a gapful number since it is divisible by the number (48) 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 420279420288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707332953600).

420279420288 is an abundant number, since it is smaller than the sum of its proper divisors (994386486912).

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

420279420288 is a wasteful number, since it uses less digits than its factorization.

420279420288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 420279420288 in words is "four hundred twenty billion, two hundred seventy-nine million, four hundred twenty thousand, two hundred eighty-eight".