73740403404040 has 32 divisors (see below), whose sum is σ = 165916173118680. Its totient is φ = 29496114168832.

The previous prime is 73740403404037. The next prime is 73740403404149. The reversal of 73740403404040 is 4040430404737.

It can be written as a sum of positive squares in 4 ways, for example, as 53708172759396 + 20032230644644 = 7328586^2 + 4475738^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 73740403403984 and 73740403404002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34937034 + ... + 36987526.

Almost surely, 2^{73740403404040} is an apocalyptic number.

It is an amenable number.

73740403404040 is an abundant number, since it is smaller than the sum of its proper divisors (92175769714640).

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

73740403404040 is a wasteful number, since it uses less digits than its factorization.

73740403404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949561 (or 2949557 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 40.

Adding to 73740403404040 its reverse (4040430404737), we get a palindrome (77780833808777).

The spelling of 73740403404040 in words is "seventy-three trillion, seven hundred forty billion, four hundred three million, four hundred four thousand, forty".