30314269440 has 1728 divisors, whose sum is σ = 144451278720. Its totient is φ = 6019743744.

The previous prime is 30314269421. The next prime is 30314269481. The reversal of 30314269440 is 4496241303.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 30314269395 and 30314269404.

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, 1783192312 + ... + 1783192328.

It is an arithmetic number, because the mean of its divisors is an integer number (83594490).

Almost surely, 2^30314269440 is an apocalyptic number.

30314269440 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 30314269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72225639360).

30314269440 is an abundant number, since it is smaller than the sum of its proper divisors (114137009280).

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

30314269440 is an equidigital number, since it uses as much as digits as its factorization.

30314269440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 30314269440 in words is "thirty billion, three hundred fourteen million, two hundred sixty-nine thousand, four hundred forty".