10401556480 has 288 divisors, whose sum is σ = 29667980160. Its totient is φ = 3428352000.

The previous prime is 10401556447. The next prime is 10401556489. The reversal of 10401556480 is 8465510401.

It is not an unprimeable number, because it can be changed into a prime (10401556489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68884405 + ... + 68884555.

It is an arithmetic number, because the mean of its divisors is an integer number (103013820).

Almost surely, 2^10401556480 is an apocalyptic number.

10401556480 is a gapful number since it is divisible by the number (10) 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 10401556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14833990080).

10401556480 is an abundant number, since it is smaller than the sum of its proper divisors (19266423680).

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

10401556480 is an equidigital number, since it uses as much as digits as its factorization.

10401556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 10401556480 in words is "ten billion, four hundred one million, five hundred fifty-six thousand, four hundred eighty".