40742411205160 has 128 divisors (see below), whose sum is σ = 106760321395200. Its totient is φ = 13703029816320.

The previous prime is 40742411205121. The next prime is 40742411205179. The reversal of 40742411205160 is 6150211424704.

It is a super-2 number, since 2×40742411205160² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92098981 + ... + 92540299.

It is an arithmetic number, because the mean of its divisors is an integer number (834065010900).

Almost surely, 2^{40742411205160} is an apocalyptic number.

40742411205160 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 40742411205160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53380160697600).

40742411205160 is an abundant number, since it is smaller than the sum of its proper divisors (66017910190040).

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

40742411205160 is a wasteful number, since it uses less digits than its factorization.

40742411205160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447611 (or 447607 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

Adding to 40742411205160 its reverse (6150211424704), we get a palindrome (46892622629864).

The spelling of 40742411205160 in words is "forty trillion, seven hundred forty-two billion, four hundred eleven million, two hundred five thousand, one hundred sixty".