420332121233024 has 1152 divisors, whose sum is σ = 1175097898149840. Its totient is φ = 148307410944000.

The previous prime is 420332121232979. The next prime is 420332121233039.

420332121233024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 126756794511424 + 293575326721600 = 11258632^2 + 17134040^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112599012662 + ... + 112599016394.

Almost surely, 2^{420332121233024} is an apocalyptic number.

420332121233024 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 420332121233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587548949074920).

420332121233024 is an abundant number, since it is smaller than the sum of its proper divisors (754765776916816).

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

420332121233024 is a wasteful number, since it uses less digits than its factorization.

420332121233024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 420332121233024 in words is "four hundred twenty trillion, three hundred thirty-two billion, one hundred twenty-one million, two hundred thirty-three thousand, twenty-four".