4030661628 has 192 divisors, whose sum is σ = 12443827200. Its totient is φ = 1103880960.

The previous prime is 4030661603. The next prime is 4030661647. The reversal of 4030661628 is 8261660304.

4030661628 is a `hidden beast` number, since 4 + 0 + 30 + 6 + 616 + 2 + 8 = 666.

It is a super-2 number, since 2×4030661628² = 32492466318863220768, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4030661592 and 4030661601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3441483 + ... + 3442653.

It is an arithmetic number, because the mean of its divisors is an integer number (64811600).

Almost surely, 2^4030661628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4030661628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6221913600).

4030661628 is an abundant number, since it is smaller than the sum of its proper divisors (8413165572).

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

4030661628 is a wasteful number, since it uses less digits than its factorization.

4030661628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4030661628 is about 63487.4919019487. The cubic root of 4030661628 is about 1591.4467572293.

The spelling of 4030661628 in words is "four billion, thirty million, six hundred sixty-one thousand, six hundred twenty-eight".