4097405655000 has 800 divisors, whose sum is σ = 16433512217760. Its totient is φ = 934053120000.

The previous prime is 4097405654957. The next prime is 4097405655053. The reversal of 4097405655000 is 5565047904.

4097405655000 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 40 + 56 + 550 + 0 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 1193533284 + ... + 1193536716.

Almost surely, 2^{4097405655000} is an apocalyptic number.

4097405655000 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 4097405655000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8216756108880).

4097405655000 is an abundant number, since it is smaller than the sum of its proper divisors (12336106562760).

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

4097405655000 is a wasteful number, since it uses less digits than its factorization.

4097405655000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3899 (or 3871 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 4097405655000 in words is "four trillion, ninety-seven billion, four hundred five million, six hundred fifty-five thousand".