4182928640 has 72 divisors (see below), whose sum is σ = 10930314528. Its totient is φ = 1521059840.

The previous prime is 4182928639. The next prime is 4182928663. The reversal of 4182928640 is 468292814.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4182928591 and 4182928600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134462 + ... + 162621.

It is an arithmetic number, because the mean of its divisors is an integer number (151809924).

Almost surely, 2^4182928640 is an apocalyptic number.

4182928640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4182928640 is an abundant number, since it is smaller than the sum of its proper divisors (6747385888).

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

4182928640 is a wasteful number, since it uses less digits than its factorization.

4182928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297115 (or 297101 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 4182928640 is about 64675.5644737640. The cubic root of 4182928640 is about 1611.2396917787.

The spelling of 4182928640 in words is "four billion, one hundred eighty-two million, nine hundred twenty-eight thousand, six hundred forty".