1234354440000 has 560 divisors, whose sum is σ = 4461301126656. Its totient is φ = 298617600000.

The previous prime is 1234354439959. The next prime is 1234354440043. The reversal of 1234354440000 is 444534321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1234354440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1197239485 + ... + 1197240515.

Almost surely, 2^{1234354440000} is an apocalyptic number.

1234354440000 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 1234354440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230650563328).

1234354440000 is an abundant number, since it is smaller than the sum of its proper divisors (3226946686656).

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

1234354440000 is a wasteful number, since it uses less digits than its factorization.

1234354440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1234354440000 its reverse (444534321), we get a palindrome (1234798974321).

The spelling of 1234354440000 in words is "one trillion, two hundred thirty-four billion, three hundred fifty-four million, four hundred forty thousand".