1415680000 has 260 divisors, whose sum is σ = 4094189440. Its totient is φ = 479232000.

The previous prime is 1415679973. The next prime is 1415680003. The reversal of 1415680000 is 865141.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1415680003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17919961 + ... + 17920039.

Almost surely, 2^1415680000 is an apocalyptic number.

1415680000 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 1415680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047094720).

1415680000 is an abundant number, since it is smaller than the sum of its proper divisors (2678509440).

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

1415680000 is an frugal number, since it uses more digits than its factorization.

1415680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 1415680000 is about 37625.5232521755. The cubic root of 1415680000 is about 1122.8498850593.

The spelling of 1415680000 in words is "one billion, four hundred fifteen million, six hundred eighty thousand".