1434105134352 has 160 divisors (see below), whose sum is σ = 4492358184960. Its totient is φ = 434410289280.

The previous prime is 1434105134309. The next prime is 1434105134377. The reversal of 1434105134352 is 2534315014341.

1434105134352 is a `hidden beast` number, since 1 + 43 + 4 + 10 + 513 + 43 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12597913 + ... + 12711239.

It is an arithmetic number, because the mean of its divisors is an integer number (28077238656).

Almost surely, 2^{1434105134352} is an apocalyptic number.

1434105134352 is a gapful number since it is divisible by the number (12) 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 1434105134352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246179092480).

1434105134352 is an abundant number, since it is smaller than the sum of its proper divisors (3058253050608).

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

1434105134352 is a wasteful number, since it uses less digits than its factorization.

1434105134352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116018 (or 116006 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1434105134352 in words is "one trillion, four hundred thirty-four billion, one hundred five million, one hundred thirty-four thousand, three hundred fifty-two".