993420040 has 16 divisors (see below), whose sum is σ = 2235195180. Its totient is φ = 397368000.

The previous prime is 993419957. The next prime is 993420097. The reversal of 993420040 is 40024399.

It can be written as a sum of positive squares in 2 ways, for example, as 965096356 + 28323684 = 31066^2 + 5322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 993419984 and 993420011.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12417711 + ... + 12417790.

Almost surely, 2^993420040 is an apocalyptic number.

It is an amenable number.

993420040 is an abundant number, since it is smaller than the sum of its proper divisors (1241775140).

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

993420040 is a wasteful number, since it uses less digits than its factorization.

993420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24835512 (or 24835508 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 993420040 is about 31518.5665917725. The cubic root of 993420040 is about 997.8018516844.

The spelling of 993420040 in words is "nine hundred ninety-three million, four hundred twenty thousand, forty".