4103628480000 has 2100 divisors, whose sum is σ = 17919429790680. Its totient is φ = 935359488000.

The previous prime is 4103628479971. The next prime is 4103628480001. The reversal of 4103628480000 is 848263014.

4103628480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2100).

It is a super-2 number, since 2×4103628480000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103628480001) by changing a digit.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 11430719821 + ... + 11430720179.

Almost surely, 2^{4103628480000} is an apocalyptic number.

4103628480000 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 4103628480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8959714895340).

4103628480000 is an abundant number, since it is smaller than the sum of its proper divisors (13815801310680).

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

4103628480000 is an frugal number, since it uses more digits than its factorization.

4103628480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4103628480000 in words is "four trillion, one hundred three billion, six hundred twenty-eight million, four hundred eighty thousand".