1428236376000 has 896 divisors, whose sum is σ = 5532763152384. Its totient is φ = 317867212800.

The previous prime is 1428236375989. The next prime is 1428236376037. The reversal of 1428236376000 is 6736328241.

It is a super-2 number, since 2×1428236376000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 2187191674 + ... + 2187192326.

Almost surely, 2^{1428236376000} is an apocalyptic number.

1428236376000 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 1428236376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766381576192).

1428236376000 is an abundant number, since it is smaller than the sum of its proper divisors (4104526776384).

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

1428236376000 is a wasteful number, since it uses less digits than its factorization.

1428236376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 1428236376000 in words is "one trillion, four hundred twenty-eight billion, two hundred thirty-six million, three hundred seventy-six thousand".