10401932352 has 224 divisors, whose sum is σ = 32242508032. Its totient is φ = 2898395136.

The previous prime is 10401932351. The next prime is 10401932353. The reversal of 10401932352 is 25323910401.

It is an interprime number because it is at equal distance from previous prime (10401932351) and next prime (10401932353).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (10401932351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9516318 + ... + 9517410.

It is an arithmetic number, because the mean of its divisors is an integer number (143939768).

Almost surely, 2^10401932352 is an apocalyptic number.

10401932352 is a gapful number since it is divisible by the number (12) 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 10401932352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121254016).

10401932352 is an abundant number, since it is smaller than the sum of its proper divisors (21840575680).

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

10401932352 is a wasteful number, since it uses less digits than its factorization.

10401932352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 10401932352 in words is "ten billion, four hundred one million, nine hundred thirty-two thousand, three hundred fifty-two".