4173053826240 has 1680 divisors, whose sum is σ = 17149001085216. Its totient is φ = 956908339200.

The previous prime is 4173053826223. The next prime is 4173053826251. The reversal of 4173053826240 is 426283503714.

4173053826240 is a `hidden beast` number, since 4 + 1 + 73 + 0 + 538 + 2 + 6 + 2 + 40 = 666.

It is a super-2 number, since 2×4173053826240² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7308325155 + ... + 7308325725.

Almost surely, 2^{4173053826240} is an apocalyptic number.

4173053826240 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 4173053826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574500542608).

4173053826240 is an abundant number, since it is smaller than the sum of its proper divisors (12975947258976).

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

4173053826240 is a wasteful number, since it uses less digits than its factorization.

4173053826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4173053826240 in words is "four trillion, one hundred seventy-three billion, fifty-three million, eight hundred twenty-six thousand, two hundred forty".