1415116640 has 96 divisors (see below), whose sum is σ = 3914132544. Its totient is φ = 473333760.

The previous prime is 1415116621. The next prime is 1415116657. The reversal of 1415116640 is 466115141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30512 + ... + 61328.

It is an arithmetic number, because the mean of its divisors is an integer number (40772214).

Almost surely, 2^1415116640 is an apocalyptic number.

1415116640 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 1415116640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957066272).

1415116640 is an abundant number, since it is smaller than the sum of its proper divisors (2499015904).

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

1415116640 is a wasteful number, since it uses less digits than its factorization.

1415116640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30880 (or 30872 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1415116640 is about 37618.0360997222. The cubic root of 1415116640 is about 1122.7009218664.

The spelling of 1415116640 in words is "one billion, four hundred fifteen million, one hundred sixteen thousand, six hundred forty".