30440551680 has 1728 divisors, whose sum is σ = 143993880576. Its totient is φ = 5971968000.

The previous prime is 30440551667. The next prime is 30440551697. The reversal of 30440551680 is 8615504403.

It is a happy number.

30440551680 is a `hidden beast` number, since 3 + 0 + 4 + 40 + 551 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 742452460 + ... + 742452500.

It is an arithmetic number, because the mean of its divisors is an integer number (83329792).

Almost surely, 2^30440551680 is an apocalyptic number.

30440551680 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 30440551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71996940288).

30440551680 is an abundant number, since it is smaller than the sum of its proper divisors (113553328896).

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

30440551680 is a wasteful number, since it uses less digits than its factorization.

30440551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 30440551680 in words is "thirty billion, four hundred forty million, five hundred fifty-one thousand, six hundred eighty".