4073172480 has 400 divisors, whose sum is σ = 15721431264. Its totient is φ = 1001963520.

The previous prime is 4073172479. The next prime is 4073172527. The reversal of 4073172480 is 842713704.

It is a happy number.

4073172480 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 172 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2694925 + ... + 2696435.

Almost surely, 2^4073172480 is an apocalyptic number.

4073172480 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 4073172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860715632).

4073172480 is an abundant number, since it is smaller than the sum of its proper divisors (11648258784).

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

4073172480 is a wasteful number, since it uses less digits than its factorization.

4073172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4073172480 is about 63821.4108274018. The cubic root of 4073172480 is about 1597.0221277782.

The spelling of 4073172480 in words is "four billion, seventy-three million, one hundred seventy-two thousand, four hundred eighty".