41293142040 has 192 divisors, whose sum is σ = 129713495040. Its totient is φ = 10505272320.

The previous prime is 41293142027. The next prime is 41293142057. The reversal of 41293142040 is 4024139214.

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 = 41293141989 and 41293142007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19822839 + ... + 19824921.

It is an arithmetic number, because the mean of its divisors is an integer number (675591120).

Almost surely, 2^41293142040 is an apocalyptic number.

41293142040 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 41293142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64856747520).

41293142040 is an abundant number, since it is smaller than the sum of its proper divisors (88420353000).

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

41293142040 is a wasteful number, since it uses less digits than its factorization.

41293142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2197 counting only the distinct ones).

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

The spelling of 41293142040 in words is "forty-one billion, two hundred ninety-three million, one hundred forty-two thousand, forty".