1420127511040 has 160 divisors (see below), whose sum is σ = 3894304677120. Its totient is φ = 486537805824.

The previous prime is 1420127511037. The next prime is 1420127511043. The reversal of 1420127511040 is 401157210241.

It is an interprime number because it is at equal distance from previous prime (1420127511037) and next prime (1420127511043).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1420127511040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1420127511043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24575301 + ... + 24633019.

It is an arithmetic number, because the mean of its divisors is an integer number (24339404232).

Almost surely, 2^{1420127511040} is an apocalyptic number.

1420127511040 is a gapful number since it is divisible by the number (10) 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 1420127511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947152338560).

1420127511040 is an abundant number, since it is smaller than the sum of its proper divisors (2474177166080).

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

1420127511040 is an equidigital number, since it uses as much as digits as its factorization.

1420127511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59122 (or 59106 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The spelling of 1420127511040 in words is "one trillion, four hundred twenty billion, one hundred twenty-seven million, five hundred eleven thousand, forty".