814481015040 has 1152 divisors, whose sum is σ = 3616989143040. Its totient is φ = 168608563200.

The previous prime is 814481015039. The next prime is 814481015069. The reversal of 814481015040 is 40510184418.

814481015040 is a `hidden beast` number, since 8 + 1 + 4 + 48 + 101 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 814481014986 and 814481015004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1120331157 + ... + 1120331883.

It is an arithmetic number, because the mean of its divisors is an integer number (3139747520).

Almost surely, 2^814481015040 is an apocalyptic number.

814481015040 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 814481015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808494571520).

814481015040 is an abundant number, since it is smaller than the sum of its proper divisors (2802508128000).

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

814481015040 is a wasteful number, since it uses less digits than its factorization.

814481015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1176 counting only the distinct ones).

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

Adding to 814481015040 its reverse (40510184418), we get a palindrome (854991199458).

The spelling of 814481015040 in words is "eight hundred fourteen billion, four hundred eighty-one million, fifteen thousand, forty".