41828322032640 has 4224 divisors, whose sum is σ = 186926018872320. Its totient is φ = 8902532136960.

The previous prime is 41828322032617. The next prime is 41828322032683. The reversal of 41828322032640 is 4623022382814.

41828322032640 is a `hidden beast` number, since 4 + 1 + 8 + 283 + 2 + 2 + 0 + 326 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-2 number, since 2×41828322032640² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 624303313887 + ... + 624303313953.

Almost surely, 2^{41828322032640} is an apocalyptic number.

41828322032640 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 41828322032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93463009436160).

41828322032640 is an abundant number, since it is smaller than the sum of its proper divisors (145097696839680).

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

41828322032640 is a wasteful number, since it uses less digits than its factorization.

41828322032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 41828322032640 in words is "forty-one trillion, eight hundred twenty-eight billion, three hundred twenty-two million, thirty-two thousand, six hundred forty".