40133556742041 has 60 divisors (see below), whose sum is σ = 70431279666660. Its totient is φ = 22706396798400.

The previous prime is 40133556742007. The next prime is 40133556742073. The reversal of 40133556742041 is 14024765533104.

40133556742041 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 3 + 5 + 567 + 42 + 0 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27265409413641 + 12868147328400 = 5221629^2 + 3587220^2 .

It is not a de Polignac number, because 40133556742041 - 2¹⁰ = 40133556741017 is a prime.

It is a super-2 number, since 2×40133556742041² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40133556782041) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 49657326 + ... + 50459063.

It is an arithmetic number, because the mean of its divisors is an integer number (1173854661111).

Almost surely, 2^{40133556742041} is an apocalyptic number.

It is an amenable number.

40133556742041 is a deficient number, since it is larger than the sum of its proper divisors (30297722924619).

40133556742041 is a wasteful number, since it uses less digits than its factorization.

40133556742041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100116516 (or 100116500 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 40133556742041 in words is "forty trillion, one hundred thirty-three billion, five hundred fifty-six million, seven hundred forty-two thousand, forty-one".