1429768765440 has 684 divisors, whose sum is σ = 5217960076056. Its totient is φ = 375581048832.

The previous prime is 1429768765379. The next prime is 1429768765589. The reversal of 1429768765440 is 445678679241.

1429768765440 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 7 + 6 + 87 + 6 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21339832287 + ... + 21339832353.

Almost surely, 2^{1429768765440} is an apocalyptic number.

1429768765440 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 1429768765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608980038028).

1429768765440 is an abundant number, since it is smaller than the sum of its proper divisors (3788191310616).

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

1429768765440 is an frugal number, since it uses more digits than its factorization.

1429768765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 1429768765440 in words is "one trillion, four hundred twenty-nine billion, seven hundred sixty-eight million, seven hundred sixty-five thousand, four hundred forty".