420034301344 has 96 divisors (see below), whose sum is σ = 990296616960. Its totient is φ = 171467020032.

The previous prime is 420034301333. The next prime is 420034301353. The reversal of 420034301344 is 443103430024.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1060767 + ... + 1401889.

It is an arithmetic number, because the mean of its divisors is an integer number (10315589760).

Almost surely, 2^420034301344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420034301344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495148308480).

420034301344 is an abundant number, since it is smaller than the sum of its proper divisors (570262315616).

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

420034301344 is a wasteful number, since it uses less digits than its factorization.

420034301344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341402 (or 341394 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 420034301344 its reverse (443103430024), we get a palindrome (863137731368).

The spelling of 420034301344 in words is "four hundred twenty billion, thirty-four million, three hundred one thousand, three hundred forty-four".