41762406116340 has 576 divisors, whose sum is σ = 160940133978624. Its totient is φ = 8529719095296.

The previous prime is 41762406116339. The next prime is 41762406116359. The reversal of 41762406116340 is 4361160426714.

41762406116340 is a `hidden beast` number, since 4 + 1 + 7 + 6 + 2 + 4 + 0 + 6 + 1 + 1 + 634 + 0 = 666.

It is a super-2 number, since 2×41762406116340² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119218927 + ... + 119568713.

It is an arithmetic number, because the mean of its divisors is an integer number (279409954824).

Almost surely, 2^{41762406116340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41762406116340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80470066989312).

41762406116340 is an abundant number, since it is smaller than the sum of its proper divisors (119177727862284).

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

41762406116340 is a wasteful number, since it uses less digits than its factorization.

41762406116340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350056 (or 350051 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 41762406116340 in words is "forty-one trillion, seven hundred sixty-two billion, four hundred six million, one hundred sixteen thousand, three hundred forty".