420300222313440 has 384 divisors, whose sum is σ = 1579277816911872. Its totient is φ = 91867811143680.

The previous prime is 420300222313409. The next prime is 420300222313471. The reversal of 420300222313440 is 44313222003024.

It is an interprime number because it is at equal distance from previous prime (420300222313409) and next prime (420300222313471).

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 = 420300222313398 and 420300222313407.

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, 297054070 + ... + 298465610.

It is an arithmetic number, because the mean of its divisors is an integer number (4112702648208).

Almost surely, 2^{420300222313440} is an apocalyptic number.

420300222313440 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 420300222313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789638908455936).

420300222313440 is an abundant number, since it is smaller than the sum of its proper divisors (1158977594598432).

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

420300222313440 is a wasteful number, since it uses less digits than its factorization.

420300222313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415442 (or 1415434 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 420300222313440 its reverse (44313222003024), we get a palindrome (464613444316464).

The spelling of 420300222313440 in words is "four hundred twenty trillion, three hundred billion, two hundred twenty-two million, three hundred thirteen thousand, four hundred forty".