1434400343040 has 352 divisors, whose sum is σ = 5270772547584. Its totient is φ = 326141706240.

The previous prime is 1434400343023. The next prime is 1434400343063. The reversal of 1434400343040 is 403430044341.

It is a super-2 number, since 2×1434400343040² (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 = 1434400342989 and 1434400343007.

It is an unprimeable number.

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, 20501397 + ... + 20571243.

Almost surely, 2^{1434400343040} is an apocalyptic number.

1434400343040 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 1434400343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635386273792).

1434400343040 is an abundant number, since it is smaller than the sum of its proper divisors (3836372204544).

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

1434400343040 is a wasteful number, since it uses less digits than its factorization.

1434400343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70073 (or 70055 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1434400343040 its reverse (403430044341), we get a palindrome (1837830387381).

The spelling of 1434400343040 in words is "one trillion, four hundred thirty-four billion, four hundred million, three hundred forty-three thousand, forty".