4141670400 has 672 divisors, whose sum is σ = 17552090880. Its totient is φ = 937820160.

The previous prime is 4141670383. The next prime is 4141670461. The reversal of 4141670400 is 40761414.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38707147 + ... + 38707253.

Almost surely, 2^4141670400 is an apocalyptic number.

4141670400 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 4141670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776045440).

4141670400 is an abundant number, since it is smaller than the sum of its proper divisors (13410420480).

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

4141670400 is a wasteful number, since it uses less digits than its factorization.

4141670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4141670400 is about 64355.8109264424. The cubic root of 4141670400 is about 1605.9247007877.

It can be divided in two parts, 4141 and 670400, that added together give a triangular number (674541 = T₁₁₆₁).

The spelling of 4141670400 in words is "four billion, one hundred forty-one million, six hundred seventy thousand, four hundred".