1434030448896 has 1728 divisors, whose sum is σ = 5206921574400. Its totient is φ = 389945622528.

The previous prime is 1434030448891. The next prime is 1434030448901. The reversal of 1434030448896 is 6988440304341.

1434030448896 is a `hidden beast` number, since 1 + 4 + 3 + 40 + 30 + 4 + 488 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (1434030448891) and next prime (1434030448901).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (1434030448891) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13402153675 + ... + 13402153781.

It is an arithmetic number, because the mean of its divisors is an integer number (3013264800).

Almost surely, 2^{1434030448896} is an apocalyptic number.

1434030448896 is a gapful number since it is divisible by the number (16) 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 1434030448896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603460787200).

1434030448896 is an abundant number, since it is smaller than the sum of its proper divisors (3772891125504).

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

1434030448896 is a wasteful number, since it uses less digits than its factorization.

1434030448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1434030448896 in words is "one trillion, four hundred thirty-four billion, thirty million, four hundred forty-eight thousand, eight hundred ninety-six".