815242671408 has 80 divisors (see below), whose sum is σ = 2299586674176. Its totient is φ = 246819083520.

The previous prime is 815242671319. The next prime is 815242671469. The reversal of 815242671408 is 804176242518.

It is a happy number.

It is a super-2 number, since 2×815242671408² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117535 + ... + 1282302.

Almost surely, 2^815242671408 is an apocalyptic number.

815242671408 is a gapful number since it is divisible by the number (88) 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 815242671408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149793337088).

815242671408 is an abundant number, since it is smaller than the sum of its proper divisors (1484344002768).

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

815242671408 is a wasteful number, since it uses less digits than its factorization.

815242671408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400962 (or 1400956 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 815242671408 in words is "eight hundred fifteen billion, two hundred forty-two million, six hundred seventy-one thousand, four hundred eight".