1420132572672 has 240 divisors, whose sum is σ = 4339346014080. Its totient is φ = 411631390720.

The previous prime is 1420132572637. The next prime is 1420132572689. The reversal of 1420132572672 is 2762752310241.

It is a super-2 number, since 2×1420132572672² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4108579 + ... + 4440797.

It is an arithmetic number, because the mean of its divisors is an integer number (18080608392).

Almost surely, 2^{1420132572672} is an apocalyptic number.

1420132572672 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 1420132572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169673007040).

1420132572672 is an abundant number, since it is smaller than the sum of its proper divisors (2919213441408).

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

1420132572672 is a wasteful number, since it uses less digits than its factorization.

1420132572672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332285 (or 332258 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 1420132572672 in words is "one trillion, four hundred twenty billion, one hundred thirty-two million, five hundred seventy-two thousand, six hundred seventy-two".