1430201604672 has 252 divisors, whose sum is σ = 4370689816896. Its totient is φ = 446294914560.

The previous prime is 1430201604571. The next prime is 1430201604763. The reversal of 1430201604672 is 2764061020341.

1430201604672 is a `hidden beast` number, since 1 + 4 + 30 + 2 + 0 + 160 + 467 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29240397 + ... + 29289267.

Almost surely, 2^{1430201604672} is an apocalyptic number.

1430201604672 is a gapful number since it is divisible by the number (12) 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 1430201604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185344908448).

1430201604672 is an abundant number, since it is smaller than the sum of its proper divisors (2940488212224).

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

1430201604672 is a wasteful number, since it uses less digits than its factorization.

1430201604672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49006 (or 48946 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 1430 and 201604672, that added together give a palindrome (201606102).

The spelling of 1430201604672 in words is "one trillion, four hundred thirty billion, two hundred one million, six hundred four thousand, six hundred seventy-two".