413444528640 has 1600 divisors, whose sum is σ = 1772778534912. Its totient is φ = 90773913600.

The previous prime is 413444528611. The next prime is 413444528641. The reversal of 413444528640 is 46825444314.

It is a happy number.

413444528640 is a `hidden beast` number, since 4 + 134 + 4 + 452 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (413444528641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2164630945 + ... + 2164631135.

Almost surely, 2^413444528640 is an apocalyptic number.

413444528640 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 413444528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886389267456).

413444528640 is an abundant number, since it is smaller than the sum of its proper divisors (1359334006272).

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

413444528640 is a wasteful number, since it uses less digits than its factorization.

413444528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 413444528640 in words is "four hundred thirteen billion, four hundred forty-four million, five hundred twenty-eight thousand, six hundred forty".