1434994124256 has 192 divisors, whose sum is σ = 5218160693760. Its totient is φ = 372725729280.

The previous prime is 1434994124117. The next prime is 1434994124257. The reversal of 1434994124256 is 6524214994341.

1434994124256 is a `hidden beast` number, since 1 + 4 + 3 + 499 + 4 + 124 + 25 + 6 = 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 (1434994124257) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10718361 + ... + 10851416.

It is an arithmetic number, because the mean of its divisors is an integer number (27177920280).

Almost surely, 2^{1434994124256} is an apocalyptic number.

1434994124256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1434994124256 is an abundant number, since it is smaller than the sum of its proper divisors (3783166569504).

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

1434994124256 is a wasteful number, since it uses less digits than its factorization.

1434994124256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21569814 (or 21569800 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 1434994124256 in words is "one trillion, four hundred thirty-four billion, nine hundred ninety-four million, one hundred twenty-four thousand, two hundred fifty-six".