1420200201024 has 252 divisors, whose sum is σ = 4558893534468. Its totient is φ = 422242529280.

The previous prime is 1420200201023. The next prime is 1420200201037. The reversal of 1420200201024 is 4201020020241.

1420200201024 is a `hidden beast` number, since 1 + 420 + 20 + 0 + 201 + 0 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 733900622400 + 686299578624 = 856680^2 + 828432^2 .

It is a super-2 number, since 2×1420200201024² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1420200200988 and 1420200201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420200201023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3501652 + ... + 3886124.

It is an arithmetic number, because the mean of its divisors is an integer number (18090847359).

Almost surely, 2^{1420200201024} 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 1420200201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279446767234).

1420200201024 is an abundant number, since it is smaller than the sum of its proper divisors (3138693333444).

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

1420200201024 is a wasteful number, since it uses less digits than its factorization.

1420200201024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384566 (or 384542 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1420200201024 its reverse (4201020020241), we get a palindrome (5621220221265).

The spelling of 1420200201024 in words is "one trillion, four hundred twenty billion, two hundred million, two hundred one thousand, twenty-four".