1000414514880 has 2352 divisors, whose sum is σ = 4418320815360. Its totient is φ = 213199257600.

The previous prime is 1000414514867. The next prime is 1000414514923. The reversal of 1000414514880 is 884154140001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 14090345245 + ... + 14090345315.

Almost surely, 2^{1000414514880} is an apocalyptic number.

1000414514880 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 1000414514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209160407680).

1000414514880 is an abundant number, since it is smaller than the sum of its proper divisors (3417906300480).

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

1000414514880 is a wasteful number, since it uses less digits than its factorization.

1000414514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 1000414514880 its reverse (884154140001), we get a palindrome (1884568654881).

The spelling of 1000414514880 in words is "one trillion, four hundred fourteen million, five hundred fourteen thousand, eight hundred eighty".