1434035123040 has 192 divisors, whose sum is σ = 4882006406592. Its totient is φ = 351736627200.

The previous prime is 1434035123021. The next prime is 1434035123041. The reversal of 1434035123040 is 403215304341.

It is a super-2 number, since 2×1434035123040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1434035122989 and 1434035123007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434035123041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344520 + ... + 2162360.

It is an arithmetic number, because the mean of its divisors is an integer number (25427116701).

Almost surely, 2^{1434035123040} is an apocalyptic number.

1434035123040 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 1434035123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441003203296).

1434035123040 is an abundant number, since it is smaller than the sum of its proper divisors (3447971283552).

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

1434035123040 is a wasteful number, since it uses less digits than its factorization.

1434035123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818153 (or 818145 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 1434035123040 in words is "one trillion, four hundred thirty-four billion, thirty-five million, one hundred twenty-three thousand, forty".