30557141440 has 224 divisors, whose sum is σ = 86125068288. Its totient is φ = 10105344000.

The previous prime is 30557141413. The next prime is 30557141443. The reversal of 30557141440 is 4414175503.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 30557141396 and 30557141405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30557141443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29928130 + ... + 29929150.

It is an arithmetic number, because the mean of its divisors is an integer number (384486912).

Almost surely, 2^30557141440 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 30557141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43062534144).

30557141440 is an abundant number, since it is smaller than the sum of its proper divisors (55567926848).

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

30557141440 is a wasteful number, since it uses less digits than its factorization.

30557141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 30557141440 in words is "thirty billion, five hundred fifty-seven million, one hundred forty-one thousand, four hundred forty".