8410162400640 has 3840 divisors, whose sum is σ = 41590002484800. Its totient is φ = 1601363312640.

The previous prime is 8410162400623. The next prime is 8410162400677. The reversal of 8410162400640 is 460042610148.

It is a happy number.

8410162400640 is a `hidden beast` number, since 8 + 4 + 1 + 0 + 1 + 6 + 2 + 4 + 0 + 0 + 640 = 666.

It is a super-3 number, since 3×8410162400640³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8410162400595 and 8410162400604.

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 479 ways as a sum of consecutive naturals, for example, 61388046652 + ... + 61388046788.

Almost surely, 2^{8410162400640} is an apocalyptic number.

8410162400640 is a gapful number since it is divisible by the number (80) 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 8410162400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20795001242400).

8410162400640 is an abundant number, since it is smaller than the sum of its proper divisors (33179840084160).

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

8410162400640 is a wasteful number, since it uses less digits than its factorization.

8410162400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 8410162400640 in words is "eight trillion, four hundred ten billion, one hundred sixty-two million, four hundred thousand, six hundred forty".