41429640 has 256 divisors, whose sum is σ = 154091520. Its totient is φ = 8709120.

The previous prime is 41429621. The next prime is 41429653. The reversal of 41429640 is 4692414.

It is a super-3 number, since 3×41429640³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41429598 and 41429607.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963459 + ... + 963501.

It is an arithmetic number, because the mean of its divisors is an integer number (601920).

Almost surely, 2^41429640 is an apocalyptic number.

41429640 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 41429640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77045760).

41429640 is an abundant number, since it is smaller than the sum of its proper divisors (112661880).

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

41429640 is a wasteful number, since it uses less digits than its factorization.

41429640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 41429640 is about 6436.5860516271. The cubic root of 41429640 is about 346.0220062406.

The spelling of 41429640 in words is "forty-one million, four hundred twenty-nine thousand, six hundred forty".