4097654092800 has 1056 divisors, whose sum is σ = 15847883170560. Its totient is φ = 1035495014400.

The previous prime is 4097654092789. The next prime is 4097654092841. The reversal of 4097654092800 is 82904567904.

4097654092800 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 6 + 540 + 92 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1796427660 + ... + 1796429940.

Almost surely, 2^{4097654092800} is an apocalyptic number.

4097654092800 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 4097654092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7923941585280).

4097654092800 is an abundant number, since it is smaller than the sum of its proper divisors (11750229077760).

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

4097654092800 is a wasteful number, since it uses less digits than its factorization.

4097654092800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 4097654092800 in words is "four trillion, ninety-seven billion, six hundred fifty-four million, ninety-two thousand, eight hundred".