73138196040 has 1024 divisors, whose sum is σ = 295064985600. Its totient is φ = 14089420800.

The previous prime is 73138196029. The next prime is 73138196071. The reversal of 73138196040 is 4069183137.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 73138195983 and 73138196001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 558306775 + ... + 558306905.

It is an arithmetic number, because the mean of its divisors is an integer number (288149400).

Almost surely, 2^73138196040 is an apocalyptic number.

73138196040 is a gapful number since it is divisible by the number (70) 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 73138196040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147532492800).

73138196040 is an abundant number, since it is smaller than the sum of its proper divisors (221926789560).

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

73138196040 is a wasteful number, since it uses less digits than its factorization.

73138196040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 73138196040 in words is "seventy-three billion, one hundred thirty-eight million, one hundred ninety-six thousand, forty".