4167773040 has 120 divisors (see below), whose sum is σ = 13725036720. Its totient is φ = 1046011904.

The previous prime is 4167773009. The next prime is 4167773053. The reversal of 4167773040 is 403777614.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4167773040² = 34740664225901683200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4167773040.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39316 + ... + 99404.

It is an arithmetic number, because the mean of its divisors is an integer number (114375306).

Almost surely, 2^4167773040 is an apocalyptic number.

4167773040 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 4167773040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862518360).

4167773040 is an abundant number, since it is smaller than the sum of its proper divisors (9557263680).

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

4167773040 is a wasteful number, since it uses less digits than its factorization.

4167773040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60139 (or 60116 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 4167773040 is about 64558.2917989626. The cubic root of 4167773040 is about 1609.2913872997.

The spelling of 4167773040 in words is "four billion, one hundred sixty-seven million, seven hundred seventy-three thousand, forty".