30973084477440 has 768 divisors, whose sum is σ = 114009882255360. Its totient is φ = 7031952506880.

The previous prime is 30973084477411. The next prime is 30973084477441. The reversal of 30973084477440 is 4477448037903.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (30973084477441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26632058299 + ... + 26632059461.

It is an arithmetic number, because the mean of its divisors is an integer number (148450367520).

Almost surely, 2^{30973084477440} is an apocalyptic number.

30973084477440 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 30973084477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57004941127680).

30973084477440 is an abundant number, since it is smaller than the sum of its proper divisors (83036797777920).

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

30973084477440 is a wasteful number, since it uses less digits than its factorization.

30973084477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 60.

The spelling of 30973084477440 in words is "thirty trillion, nine hundred seventy-three billion, eighty-four million, four hundred seventy-seven thousand, four hundred forty".