420412021501440 has 320 divisors, whose sum is σ = 1369635834321216. Its totient is φ = 109972697382912.

The previous prime is 420412021501427. The next prime is 420412021501469. The reversal of 420412021501440 is 44105120214024.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 420412021501398 and 420412021501407.

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, 2097376902 + ... + 2097577338.

Almost surely, 2^{420412021501440} is an apocalyptic number.

420412021501440 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 420412021501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684817917160608).

420412021501440 is an abundant number, since it is smaller than the sum of its proper divisors (949223812819776).

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

420412021501440 is a wasteful number, since it uses less digits than its factorization.

420412021501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205669 (or 205653 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 420412021501440 its reverse (44105120214024), we get a palindrome (464517141715464).

The spelling of 420412021501440 in words is "four hundred twenty trillion, four hundred twelve billion, twenty-one million, five hundred one thousand, four hundred forty".