1430042284800 has 972 divisors, whose sum is σ = 5468400895776. Its totient is φ = 356460134400.

The previous prime is 1430042284763. The next prime is 1430042284841. The reversal of 1430042284800 is 84822400341.

It is a super-2 number, since 2×1430042284800² (a number of 25 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 4511174242 + ... + 4511174558.

Almost surely, 2^{1430042284800} is an apocalyptic number.

1430042284800 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 1430042284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734200447888).

1430042284800 is an abundant number, since it is smaller than the sum of its proper divisors (4038358610976).

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

1430042284800 is a wasteful number, since it uses less digits than its factorization.

1430042284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 1430042284800 in words is "one trillion, four hundred thirty billion, forty-two million, two hundred eighty-four thousand, eight hundred".