1340413104030 has 1536 divisors, whose sum is σ = 4829172203520. Its totient is φ = 233369579520.

The previous prime is 1340413103951. The next prime is 1340413104097. The reversal of 1340413104030 is 304013140431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 10554433827 + ... + 10554433953.

It is an arithmetic number, because the mean of its divisors is an integer number (3143992320).

Almost surely, 2^{1340413104030} is an apocalyptic number.

1340413104030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340413104030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414586101760).

1340413104030 is an abundant number, since it is smaller than the sum of its proper divisors (3488759099490).

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

1340413104030 is a wasteful number, since it uses less digits than its factorization.

1340413104030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1340413104030 its reverse (304013140431), we get a palindrome (1644426244461).

The spelling of 1340413104030 in words is "one trillion, three hundred forty billion, four hundred thirteen million, one hundred four thousand, thirty".