410561994652992 has 1344 divisors, whose sum is σ = 1609366799040000. Its totient is φ = 99043512680448.

The previous prime is 410561994652969. The next prime is 410561994653003. The reversal of 410561994652992 is 299256499165014.

410561994652992 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 6 + 1 + 9 + 9 + 4 + 6 + 529 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×410561994652992² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 410561994652992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1415034528 + ... + 1415324640.

It is an arithmetic number, because the mean of its divisors is an integer number (1197445535000).

Almost surely, 2^{410561994652992} is an apocalyptic number.

410561994652992 is a gapful number since it is divisible by the number (42) 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 410561994652992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804683399520000).

410561994652992 is an abundant number, since it is smaller than the sum of its proper divisors (1198804804387008).

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

410561994652992 is a wasteful number, since it uses less digits than its factorization.

410561994652992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290213 (or 290186 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 410561994652992 in words is "four hundred ten trillion, five hundred sixty-one billion, nine hundred ninety-four million, six hundred fifty-two thousand, nine hundred ninety-two".