4103870400 has 672 divisors, whose sum is σ = 17567208960. Its totient is φ = 912384000.

The previous prime is 4103870369. The next prime is 4103870461. The reversal of 4103870400 is 40783014.

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 95 ways as a sum of consecutive naturals, for example, 12398235 + ... + 12398565.

It is an arithmetic number, because the mean of its divisors is an integer number (26141680).

Almost surely, 2^4103870400 is an apocalyptic number.

4103870400 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 4103870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8783604480).

4103870400 is an abundant number, since it is smaller than the sum of its proper divisors (13463338560).

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

4103870400 is a wasteful number, since it uses less digits than its factorization.

4103870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 389 counting only the distinct ones).

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

The square root of 4103870400 is about 64061.4579915256. The cubic root of 4103870400 is about 1601.0241359927.

It can be divided in two parts, 4103 and 870400, that added together give a triangular number (874503 = T₁₃₂₂).

The spelling of 4103870400 in words is "four billion, one hundred three million, eight hundred seventy thousand, four hundred".