30070405440 has 224 divisors, whose sum is σ = 106324968960. Its totient is φ = 8000391168.

The previous prime is 30070405433. The next prime is 30070405441. The reversal of 30070405440 is 4450407003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30070405441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3996562 + ... + 4004078.

It is an arithmetic number, because the mean of its divisors is an integer number (474665040).

Almost surely, 2^30070405440 is an apocalyptic number.

30070405440 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 30070405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53162484480).

30070405440 is an abundant number, since it is smaller than the sum of its proper divisors (76254563520).

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

30070405440 is a wasteful number, since it uses less digits than its factorization.

30070405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 30070405440 in words is "thirty billion, seventy million, four hundred five thousand, four hundred forty".