4346195040 has 576 divisors, whose sum is σ = 17118646272. Its totient is φ = 994406400.

The previous prime is 4346195017. The next prime is 4346195053. The reversal of 4346195040 is 405916434.

4346195040 is a `hidden beast` number, since 4 + 34 + 619 + 5 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×4346195040² = 37778822651441203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4346194986 and 4346195004.

It is a congruent number.

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, 26025037 + ... + 26025203.

It is an arithmetic number, because the mean of its divisors is an integer number (29719872).

Almost surely, 2^4346195040 is an apocalyptic number.

4346195040 is a gapful number since it is divisible by the number (40) 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 4346195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8559323136).

4346195040 is an abundant number, since it is smaller than the sum of its proper divisors (12772451232).

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

4346195040 is a wasteful number, since it uses less digits than its factorization.

4346195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4346195040 is about 65925.6781535086. The cubic root of 4346195040 is about 1631.9358034148.

The spelling of 4346195040 in words is "four billion, three hundred forty-six million, one hundred ninety-five thousand, forty".