413662047540 has 192 divisors, whose sum is σ = 1402888564224. Its totient is φ = 88906678272.

The previous prime is 413662047497. The next prime is 413662047541. The reversal of 413662047540 is 45740266314.

It is a happy number.

It is a super-2 number, since 2×413662047540² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 413662047492 and 413662047501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413662047541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7806174 + ... + 7858986.

It is an arithmetic number, because the mean of its divisors is an integer number (7306711272).

Almost surely, 2^413662047540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413662047540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701444282112).

413662047540 is an abundant number, since it is smaller than the sum of its proper divisors (989226516684).

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

413662047540 is a wasteful number, since it uses less digits than its factorization.

413662047540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53946 (or 53944 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 413662047540 in words is "four hundred thirteen billion, six hundred sixty-two million, forty-seven thousand, five hundred forty".