797430346440 has 384 divisors, whose sum is σ = 2969109354240. Its totient is φ = 167761870848.

The previous prime is 797430346409. The next prime is 797430346457. The reversal of 797430346440 is 44643034797.

797430346440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50103924 + ... + 50119836.

It is an arithmetic number, because the mean of its divisors is an integer number (7732055610).

Almost surely, 2^797430346440 is an apocalyptic number.

797430346440 is a gapful number since it is divisible by the number (70) 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 797430346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484554677120).

797430346440 is an abundant number, since it is smaller than the sum of its proper divisors (2171679007800).

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

797430346440 is a wasteful number, since it uses less digits than its factorization.

797430346440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16313 (or 16296 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 797430346440 in words is "seven hundred ninety-seven billion, four hundred thirty million, three hundred forty-six thousand, four hundred forty".