420551155024 has 160 divisors (see below), whose sum is σ = 1096269834240. Its totient is φ = 150936307200.

The previous prime is 420551155001. The next prime is 420551155081.

420551155024 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7837117 + ... + 7890595.

It is an arithmetic number, because the mean of its divisors is an integer number (6851686464).

Almost surely, 2^420551155024 is an apocalyptic number.

420551155024 is a gapful number since it is divisible by the number (44) 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 420551155024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548134917120).

420551155024 is an abundant number, since it is smaller than the sum of its proper divisors (675718679216).

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

420551155024 is a wasteful number, since it uses less digits than its factorization.

420551155024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54009 (or 54003 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 34.

It can be divided in two parts, 420551 and 155024, that added together give a palindrome (575575).

The spelling of 420551155024 in words is "four hundred twenty billion, five hundred fifty-one million, one hundred fifty-five thousand, twenty-four".