1420190134272 has 936 divisors, whose sum is σ = 5182019899056. Its totient is φ = 371440484352.

The previous prime is 1420190134199. The next prime is 1420190134303. The reversal of 1420190134272 is 2724310910241.

1420190134272 is a `hidden beast` number, since 1 + 42 + 0 + 190 + 1 + 3 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4626026343 + ... + 4626026649.

It is an arithmetic number, because the mean of its divisors is an integer number (5536346046).

Almost surely, 2^{1420190134272} is an apocalyptic number.

1420190134272 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 1420190134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591009949528).

1420190134272 is an abundant number, since it is smaller than the sum of its proper divisors (3761829764784).

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

1420190134272 is a wasteful number, since it uses less digits than its factorization.

1420190134272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1420190134272 in words is "one trillion, four hundred twenty billion, one hundred ninety million, one hundred thirty-four thousand, two hundred seventy-two".