30054511341440 has 128 divisors (see below), whose sum is σ = 72867457206720. Its totient is φ = 11851437015040.

The previous prime is 30054511341431. The next prime is 30054511341461. The reversal of 30054511341440 is 4414311545003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×30054511341440² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30054511341440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698709374 + ... + 698752386.

Almost surely, 2^{30054511341440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30054511341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36433728603360).

30054511341440 is an abundant number, since it is smaller than the sum of its proper divisors (42812945865280).

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

30054511341440 is a wasteful number, since it uses less digits than its factorization.

30054511341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58480 (or 58468 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 30054511341440 its reverse (4414311545003), we get a palindrome (34468822886443).

The spelling of 30054511341440 in words is "thirty trillion, fifty-four billion, five hundred eleven million, three hundred forty-one thousand, four hundred forty".