30641136744000 has 448 divisors, whose sum is σ = 101808295280640. Its totient is φ = 8120148940800.

The previous prime is 30641136743981. The next prime is 30641136744013. The reversal of 30641136744000 is 44763114603.

It is a self number, because there is not a number n which added to its sum of digits gives 30641136744000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2601330111 + ... + 2601341889.

Almost surely, 2^{30641136744000} is an apocalyptic number.

30641136744000 is a gapful number since it is divisible by the number (30) 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 30641136744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50904147640320).

30641136744000 is an abundant number, since it is smaller than the sum of its proper divisors (71167158536640).

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

30641136744000 is a wasteful number, since it uses less digits than its factorization.

30641136744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12475 (or 12455 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 30641136744000 its reverse (44763114603), we get a palindrome (30685899858603).

The spelling of 30641136744000 in words is "thirty trillion, six hundred forty-one billion, one hundred thirty-six million, seven hundred forty-four thousand".