1430022951006 has 128 divisors (see below), whose sum is σ = 3280918265856. Its totient is φ = 411627847680.

The previous prime is 1430022950977. The next prime is 1430022951037. The reversal of 1430022951006 is 6001592200341.

It is a super-3 number, since 3×1430022951006³ (a number of 37 digits) contains 333 as substring.

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, 540241575 + ... + 540244221.

It is an arithmetic number, because the mean of its divisors is an integer number (25632173952).

Almost surely, 2^{1430022951006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430022951006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640459132928).

1430022951006 is an abundant number, since it is smaller than the sum of its proper divisors (1850895314850).

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

1430022951006 is a wasteful number, since it uses less digits than its factorization.

1430022951006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986.

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 1430022951006 in words is "one trillion, four hundred thirty billion, twenty-two million, nine hundred fifty-one thousand, six".