815459426640 has 240 divisors, whose sum is σ = 2859659112960. Its totient is φ = 207855267840.

The previous prime is 815459426633. The next prime is 815459426671. The reversal of 815459426640 is 46624954518.

It is a happy number.

815459426640 is a `hidden beast` number, since 8 + 1 + 5 + 4 + 594 + 2 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24641305 + ... + 24674375.

It is an arithmetic number, because the mean of its divisors is an integer number (11915246304).

Almost surely, 2^815459426640 is an apocalyptic number.

815459426640 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 815459426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429829556480).

815459426640 is an abundant number, since it is smaller than the sum of its proper divisors (2044199686320).

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

815459426640 is a wasteful number, since it uses less digits than its factorization.

815459426640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34602 (or 34593 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 815459426640 in words is "eight hundred fifteen billion, four hundred fifty-nine million, four hundred twenty-six thousand, six hundred forty".