1416686040 has 480 divisors, whose sum is σ = 5898906000. Its totient is φ = 292400640.

The previous prime is 1416686027. The next prime is 1416686053. The reversal of 1416686040 is 406866141.

1416686040 is a `hidden beast` number, since 1 + 41 + 6 + 6 + 8 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1416686027) and next prime (1416686053).

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 = 1416685986 and 1416686004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9507886 + ... + 9508034.

Almost surely, 2^1416686040 is an apocalyptic number.

1416686040 is a gapful number since it is divisible by the number (10) 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 1416686040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949453000).

1416686040 is an abundant number, since it is smaller than the sum of its proper divisors (4482219960).

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

1416686040 is a wasteful number, since it uses less digits than its factorization.

1416686040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1416686040 is about 37638.8899942599. The cubic root of 1416686040 is about 1123.1158030672.

The spelling of 1416686040 in words is "one billion, four hundred sixteen million, six hundred eighty-six thousand, forty".