814235520000 has 880 divisors, whose sum is σ = 3167741998080. Its totient is φ = 182009856000.

The previous prime is 814235519959. The next prime is 814235520011. The reversal of 814235520000 is 25532418.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 814235520000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 631679356 + ... + 631680644.

It is an arithmetic number, because the mean of its divisors is an integer number (3599706816).

Almost surely, 2^814235520000 is an apocalyptic number.

814235520000 is a gapful number since it is divisible by the number (80) 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 814235520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583870999040).

814235520000 is an abundant number, since it is smaller than the sum of its proper divisors (2353506478080).

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

814235520000 is a wasteful number, since it uses less digits than its factorization.

814235520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 814235520000 in words is "eight hundred fourteen billion, two hundred thirty-five million, five hundred twenty thousand".