8930121440 has 48 divisors (see below), whose sum is σ = 21611998800. Its totient is φ = 3484922880.

The previous prime is 8930121439. The next prime is 8930121443. The reversal of 8930121440 is 441210398.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 8930121397 and 8930121406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8930121443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674090 + ... + 687209.

It is an arithmetic number, because the mean of its divisors is an integer number (450249975).

Almost surely, 2^8930121440 is an apocalyptic number.

8930121440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8930121440 is an abundant number, since it is smaller than the sum of its proper divisors (12681877360).

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

8930121440 is a wasteful number, since it uses less digits than its factorization.

8930121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361355 (or 1361347 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 8930121440 is about 94499.3197859117. The cubic root of 8930121440 is about 2074.6863755930.

The spelling of 8930121440 in words is "eight billion, nine hundred thirty million, one hundred twenty-one thousand, four hundred forty".