41429203968 has 88 divisors (see below), whose sum is σ = 110541242448. Its totient is φ = 13795065856.

The previous prime is 41429203967. The next prime is 41429203973. The reversal of 41429203968 is 86930292414.

It is a super-3 number, since 3×41429203968³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41429203967) 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 7 ways as a sum of consecutive naturals, for example, 3105280 + ... + 3118592.

Almost surely, 2^41429203968 is an apocalyptic number.

41429203968 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 41429203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55270621224).

41429203968 is an abundant number, since it is smaller than the sum of its proper divisors (69112038480).

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

41429203968 is a wasteful number, since it uses less digits than its factorization.

41429203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14349 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 41429203968 in words is "forty-one billion, four hundred twenty-nine million, two hundred three thousand, nine hundred sixty-eight".