1993415040 has 96 divisors (see below), whose sum is σ = 6883531200. Its totient is φ = 531575808.

The previous prime is 1993414993. The next prime is 1993415069. The reversal of 1993415040 is 405143991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1993414986 and 1993415004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167280 + ... + 178799.

It is an arithmetic number, because the mean of its divisors is an integer number (71703450).

Almost surely, 2^1993415040 is an apocalyptic number.

1993415040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1993415040 is an abundant number, since it is smaller than the sum of its proper divisors (4890116160).

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

1993415040 is a wasteful number, since it uses less digits than its factorization.

1993415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346104 (or 346089 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1993415040 is about 44647.6767592671. The cubic root of 1993415040 is about 1258.5367745958.

The spelling of 1993415040 in words is "one billion, nine hundred ninety-three million, four hundred fifteen thousand, forty".