4172783040 has 560 divisors, whose sum is σ = 16116909600. Its totient is φ = 1021206528.

The previous prime is 4172783039. The next prime is 4172783047. The reversal of 4172783040 is 403872714.

It is a happy number.

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 = 4172782986 and 4172783004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172783047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18221646 + ... + 18221874.

Almost surely, 2^4172783040 is an apocalyptic number.

4172783040 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 4172783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8058454800).

4172783040 is an abundant number, since it is smaller than the sum of its proper divisors (11944126560).

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

4172783040 is a wasteful number, since it uses less digits than its factorization.

4172783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

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

The square root of 4172783040 is about 64597.0822870507. The cubic root of 4172783040 is about 1609.9359618576.

The spelling of 4172783040 in words is "four billion, one hundred seventy-two million, seven hundred eighty-three thousand, forty".