1415690640 has 960 divisors, whose sum is σ = 6551580672. Its totient is φ = 265420800.

The previous prime is 1415690629. The next prime is 1415690701. The reversal of 1415690640 is 460965141.

1415690640 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 6 + 9 + 0 + 640 = 666.

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 = 1415690595 and 1415690604.

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 191 ways as a sum of consecutive naturals, for example, 34529020 + ... + 34529060.

Almost surely, 2^1415690640 is an apocalyptic number.

1415690640 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 1415690640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275790336).

1415690640 is an abundant number, since it is smaller than the sum of its proper divisors (5135890032).

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

1415690640 is a wasteful number, since it uses less digits than its factorization.

1415690640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1415690640 is about 37625.6646452923. The cubic root of 1415690640 is about 1122.8526980991.

The spelling of 1415690640 in words is "one billion, four hundred fifteen million, six hundred ninety thousand, six hundred forty".