816350729040 has 1440 divisors, whose sum is σ = 3723286694400. Its totient is φ = 159553658880.

The previous prime is 816350729039. The next prime is 816350729059. The reversal of 816350729040 is 40927053618.

816350729040 is a `hidden beast` number, since 8 + 1 + 6 + 350 + 7 + 290 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 507995917 + ... + 507997523.

It is an arithmetic number, because the mean of its divisors is an integer number (2585615760).

It is a 1-persistent number, because it is pandigital, but 2⋅816350729040 = 1632701458080 is not.

Almost surely, 2^816350729040 is an apocalyptic number.

816350729040 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 816350729040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861643347200).

816350729040 is an abundant number, since it is smaller than the sum of its proper divisors (2906935965360).

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

816350729040 is a wasteful number, since it uses less digits than its factorization.

816350729040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 816350729040 in words is "eight hundred sixteen billion, three hundred fifty million, seven hundred twenty-nine thousand, forty".