41142916440 has 320 divisors, whose sum is σ = 142192908000. Its totient is φ = 10665768960.

The previous prime is 41142916429. The next prime is 41142916481. The reversal of 41142916440 is 4461924114.

It is a happy number.

41142916440 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 2 + 9 + 1 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41142916395 and 41142916404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17588791 + ... + 17591129.

Almost surely, 2^41142916440 is an apocalyptic number.

41142916440 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 41142916440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71096454000).

41142916440 is an abundant number, since it is smaller than the sum of its proper divisors (101049991560).

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

41142916440 is a wasteful number, since it uses less digits than its factorization.

41142916440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2512 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 41142916440 in words is "forty-one billion, one hundred forty-two million, nine hundred sixteen thousand, four hundred forty".