30235496225040 has 1280 divisors, whose sum is σ = 110656917504000. Its totient is φ = 7579721318400.

The previous prime is 30235496225029. The next prime is 30235496225047. The reversal of 30235496225040 is 4052269453203.

30235496225040 is a `hidden beast` number, since 3 + 0 + 2 + 3 + 54 + 96 + 2 + 2 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30235496225047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 143296190535 + ... + 143296190745.

It is an arithmetic number, because the mean of its divisors is an integer number (86450716800).

Almost surely, 2^{30235496225040} is an apocalyptic number.

30235496225040 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 30235496225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55328458752000).

30235496225040 is an abundant number, since it is smaller than the sum of its proper divisors (80421421278960).

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

30235496225040 is a wasteful number, since it uses less digits than its factorization.

30235496225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 30235496225040 in words is "thirty trillion, two hundred thirty-five billion, four hundred ninety-six million, two hundred twenty-five thousand, forty".