30025131840 has 1120 divisors, whose sum is σ = 124627599360. Its totient is φ = 6793113600.

The previous prime is 30025131793. The next prime is 30025131901. The reversal of 30025131840 is 4813152003.

It is a happy number.

30025131840 is a `hidden beast` number, since 300 + 2 + 5 + 1 + 318 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 380064921 + ... + 380064999.

Almost surely, 2^30025131840 is an apocalyptic number.

30025131840 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 30025131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62313799680).

30025131840 is an abundant number, since it is smaller than the sum of its proper divisors (94602467520).

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

30025131840 is a wasteful number, since it uses less digits than its factorization.

30025131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 30025131840 its reverse (4813152003), we get a palindrome (34838283843).

The spelling of 30025131840 in words is "thirty billion, twenty-five million, one hundred thirty-one thousand, eight hundred forty".