4014828720 has 320 divisors, whose sum is σ = 16129920000. Its totient is φ = 917505792.

The previous prime is 4014828673. The next prime is 4014828721. The reversal of 4014828720 is 278284104.

It is a super-2 number, since 2×4014828720² = 32237699301873676800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4014828721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 738171 + ... + 743589.

It is an arithmetic number, because the mean of its divisors is an integer number (50406000).

Almost surely, 2^4014828720 is an apocalyptic number.

4014828720 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 4014828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064960000).

4014828720 is an abundant number, since it is smaller than the sum of its proper divisors (12115091280).

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

4014828720 is a wasteful number, since it uses less digits than its factorization.

4014828720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4014828720 is about 63362.6760798500. The cubic root of 4014828720 is about 1589.3602267650.

The spelling of 4014828720 in words is "four billion, fourteen million, eight hundred twenty-eight thousand, seven hundred twenty".