1428190581840 has 320 divisors, whose sum is σ = 5092435491840. Its totient is φ = 327466782720.

The previous prime is 1428190581803. The next prime is 1428190581869. The reversal of 1428190581840 is 481850918241.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 30925647 + ... + 30971793.

It is an arithmetic number, because the mean of its divisors is an integer number (15913860912).

Almost surely, 2^{1428190581840} is an apocalyptic number.

1428190581840 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 1428190581840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546217745920).

1428190581840 is an abundant number, since it is smaller than the sum of its proper divisors (3664244910000).

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

1428190581840 is a wasteful number, since it uses less digits than its factorization.

1428190581840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46810 (or 46804 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 51.

The spelling of 1428190581840 in words is "one trillion, four hundred twenty-eight billion, one hundred ninety million, five hundred eighty-one thousand, eight hundred forty".