815147351040 has 704 divisors, whose sum is σ = 3090866503680. Its totient is φ = 181149696000.

The previous prime is 815147351017. The next prime is 815147351087. The reversal of 815147351040 is 40153741518.

It is a tau number, because it is divible by the number of its divisors (704).

It is a self number, because there is not a number n which added to its sum of digits gives 815147351040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99513345 + ... + 99521535.

Almost surely, 2^815147351040 is an apocalyptic number.

815147351040 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 815147351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545433251840).

815147351040 is an abundant number, since it is smaller than the sum of its proper divisors (2275719152640).

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

815147351040 is a wasteful number, since it uses less digits than its factorization.

815147351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 815147351040 in words is "eight hundred fifteen billion, one hundred forty-seven million, three hundred fifty-one thousand, forty".