40829103648 has 240 divisors, whose sum is σ = 128478651840. Its totient is φ = 12681100800.

The previous prime is 40829103647. The next prime is 40829103659. The reversal of 40829103648 is 84630192804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40829103647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2997333 + ... + 3010923.

It is an arithmetic number, because the mean of its divisors is an integer number (535327716).

Almost surely, 2^40829103648 is an apocalyptic number.

40829103648 is a gapful number since it is divisible by the number (48) 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 40829103648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64239325920).

40829103648 is an abundant number, since it is smaller than the sum of its proper divisors (87649548192).

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

40829103648 is a wasteful number, since it uses less digits than its factorization.

40829103648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13693 (or 13676 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40829103648 in words is "forty billion, eight hundred twenty-nine million, one hundred three thousand, six hundred forty-eight".