30785790013440 has 3744 divisors, whose sum is σ = 138701744133120. Its totient is φ = 5694270996480.

The previous prime is 30785790013357. The next prime is 30785790013483. The reversal of 30785790013440 is 4431009758703.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 345907752916 + ... + 345907753004.

Almost surely, 2^{30785790013440} is an apocalyptic number.

30785790013440 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 30785790013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69350872066560).

30785790013440 is an abundant number, since it is smaller than the sum of its proper divisors (107915954119680).

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

30785790013440 is a wasteful number, since it uses less digits than its factorization.

30785790013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 30785790013440 in words is "thirty trillion, seven hundred eighty-five billion, seven hundred ninety million, thirteen thousand, four hundred forty".