410945198653440 has 1280 divisors, whose sum is σ = 1609199266783680. Its totient is φ = 99500949504000.

The previous prime is 410945198653397. The next prime is 410945198653441. The reversal of 410945198653440 is 44356891549014.

410945198653440 is a `hidden beast` number, since 4 + 1 + 0 + 9 + 4 + 5 + 1 + 98 + 6 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (410945198653441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192841481175 + ... + 192841483305.

Almost surely, 2^{410945198653440} is an apocalyptic number.

410945198653440 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 410945198653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804599633391840).

410945198653440 is an abundant number, since it is smaller than the sum of its proper divisors (1198254068130240).

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

410945198653440 is a wasteful number, since it uses less digits than its factorization.

410945198653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3510 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 410945198653440 in words is "four hundred ten trillion, nine hundred forty-five billion, one hundred ninety-eight million, six hundred fifty-three thousand, four hundred forty".