1234314203040 has 288 divisors, whose sum is σ = 4309183307520. Its totient is φ = 321588099072.

The previous prime is 1234314203011. The next prime is 1234314203041. The reversal of 1234314203040 is 403024134321.

1234314203040 is a `hidden beast` number, since 1 + 2 + 343 + 14 + 2 + 0 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1234314202995 and 1234314203013.

It is not an unprimeable number, because it can be changed into a prime (1234314203041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39712626 + ... + 39743694.

It is an arithmetic number, because the mean of its divisors is an integer number (14962442040).

Almost surely, 2^{1234314203040} is an apocalyptic number.

1234314203040 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 1234314203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154591653760).

1234314203040 is an abundant number, since it is smaller than the sum of its proper divisors (3074869104480).

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

1234314203040 is a wasteful number, since it uses less digits than its factorization.

1234314203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31724 (or 31713 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1234314203040 its reverse (403024134321), we get a palindrome (1637338337361).

The spelling of 1234314203040 in words is "one trillion, two hundred thirty-four billion, three hundred fourteen million, two hundred three thousand, forty".