410009041742400 has 1701 divisors, whose sum is σ = 1571442596608521. Its totient is φ = 101376879298560.

The previous prime is 410009041742369. The next prime is 410009041742407. The reversal of 410009041742400 is 4247140900014.

The square root of 410009041742400 is 20248680.

It is a perfect power (a square), and thus also a powerful number.

410009041742400 is a `hidden beast` number, since 4 + 100 + 0 + 90 + 41 + 7 + 424 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 147603255027264 + 262405786715136 = 12149208^2 + 16198944^2 .

It is a super-2 number, since 2×410009041742400² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (410009041742407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3831860203147 + ... + 3831860203253.

Almost surely, 2^{410009041742400} is an apocalyptic number.

410009041742400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

410009041742400 is the 20248680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410009041742400

410009041742400 is an abundant number, since it is smaller than the sum of its proper divisors (1161433554866121).

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

410009041742400 is a wasteful number, since it uses less digits than its factorization.

410009041742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

410009041742400 divided by its sum of digits (36) gives a square (11389140048400 = 3374780²).

The spelling of 410009041742400 in words is "four hundred ten trillion, nine billion, forty-one million, seven hundred forty-two thousand, four hundred".