30444736140 has 1152 divisors, whose sum is σ = 127720599552. Its totient is φ = 5912248320.

The previous prime is 30444736097. The next prime is 30444736183. The reversal of 30444736140 is 4163744403.

30444736140 is a `hidden beast` number, since 3 + 0 + 44 + 473 + 6 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (30444736097) and next prime (30444736183).

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 = 30444736095 and 30444736104.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 417051144 + ... + 417051216.

It is an arithmetic number, because the mean of its divisors is an integer number (110868576).

Almost surely, 2^30444736140 is an apocalyptic number.

30444736140 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 30444736140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63860299776).

30444736140 is an abundant number, since it is smaller than the sum of its proper divisors (97275863412).

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

30444736140 is a wasteful number, since it uses less digits than its factorization.

30444736140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 30444736140 in words is "thirty billion, four hundred forty-four million, seven hundred thirty-six thousand, one hundred forty".