1429630570368 has 3072 divisors, whose sum is σ = 6314350049280. Its totient is φ = 309586821120.

The previous prime is 1429630570367. The next prime is 1429630570399. The reversal of 1429630570368 is 8630750369241.

1429630570368 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 6 + 3 + 0 + 570 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429630570367) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19583980380 + ... + 19583980452.

It is an arithmetic number, because the mean of its divisors is an integer number (2055452490).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1429630570368 = 2859261140736, but 3⋅1429630570368 = 4288891711104 is not.

Almost surely, 2^{1429630570368} is an apocalyptic number.

1429630570368 is a gapful number since it is divisible by the number (18) 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 1429630570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157175024640).

1429630570368 is an abundant number, since it is smaller than the sum of its proper divisors (4884719478912).

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

1429630570368 is a wasteful number, since it uses less digits than its factorization.

1429630570368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1429630570368 in words is "one trillion, four hundred twenty-nine billion, six hundred thirty million, five hundred seventy thousand, three hundred sixty-eight".