4073772240 has 120 divisors (see below), whose sum is σ = 13697525088. Its totient is φ = 1085034240.

The previous prime is 4073772221. The next prime is 4073772247. The reversal of 4073772240 is 422773704.

4073772240 is a `hidden beast` number, since 40 + 7 + 377 + 2 + 240 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4073772195 and 4073772204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073772247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 696207 + ... + 702033.

Almost surely, 2^4073772240 is an apocalyptic number.

4073772240 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 4073772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848762544).

4073772240 is an abundant number, since it is smaller than the sum of its proper divisors (9623752848).

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

4073772240 is a wasteful number, since it uses less digits than its factorization.

4073772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 4073772240 is about 63826.1093910635. The cubic root of 4073772240 is about 1597.1005091863.

The spelling of 4073772240 in words is "four billion, seventy-three million, seven hundred seventy-two thousand, two hundred forty".