1340434244100 has 216 divisors, whose sum is σ = 4555324982208. Its totient is φ = 303410016000.

The previous prime is 1340434244047. The next prime is 1340434244119. The reversal of 1340434244100 is 14424340431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1071450 + ... + 1956750.

Almost surely, 2^{1340434244100} is an apocalyptic number.

1340434244100 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 1340434244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277662491104).

1340434244100 is an abundant number, since it is smaller than the sum of its proper divisors (3214890738108).

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

1340434244100 is a wasteful number, since it uses less digits than its factorization.

1340434244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885435 (or 885421 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1340434244100 its reverse (14424340431), we get a palindrome (1354858584531).

The spelling of 1340434244100 in words is "one trillion, three hundred forty billion, four hundred thirty-four million, two hundred forty-four thousand, one hundred".