41142620640 has 192 divisors, whose sum is σ = 145202803200. Its totient is φ = 9704355840.

The previous prime is 41142620609. The next prime is 41142620647. The reversal of 41142620640 is 4602624114.

It is a happy number.

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 = 41142620598 and 41142620607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41142620647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90061 + ... + 300659.

It is an arithmetic number, because the mean of its divisors is an integer number (756264600).

Almost surely, 2^41142620640 is an apocalyptic number.

41142620640 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 41142620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72601401600).

41142620640 is an abundant number, since it is smaller than the sum of its proper divisors (104060182560).

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

41142620640 is a wasteful number, since it uses less digits than its factorization.

41142620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210665 (or 210657 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 41142620640 in words is "forty-one billion, one hundred forty-two million, six hundred twenty thousand, six hundred forty".