30054145440 has 192 divisors, whose sum is σ = 103654857600. Its totient is φ = 7259197440.

The previous prime is 30054145423. The next prime is 30054145469. The reversal of 30054145440 is 4454145003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30054145398 and 30054145407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452286 + ... + 1472834.

It is an arithmetic number, because the mean of its divisors is an integer number (539869050).

Almost surely, 2^30054145440 is an apocalyptic number.

30054145440 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 30054145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51827428800).

30054145440 is an abundant number, since it is smaller than the sum of its proper divisors (73600712160).

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

30054145440 is a wasteful number, since it uses less digits than its factorization.

30054145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20855 (or 20847 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 30054145440 in words is "thirty billion, fifty-four million, one hundred forty-five thousand, four hundred forty".