10403940013632 has 1120 divisors, whose sum is σ = 36235297486080. Its totient is φ = 2919555809280.

The previous prime is 10403940013603. The next prime is 10403940013661. The reversal of 10403940013632 is 23631004930401.

10403940013632 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 3 + 9 + 4 + 0 + 0 + 13 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (10403940013603) and next prime (10403940013661).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13053876658 + ... + 13053877454.

It is an arithmetic number, because the mean of its divisors is an integer number (32352944184).

Almost surely, 2^{10403940013632} is an apocalyptic number.

10403940013632 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 10403940013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18117648743040).

10403940013632 is an abundant number, since it is smaller than the sum of its proper divisors (25831357472448).

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

10403940013632 is a wasteful number, since it uses less digits than its factorization.

10403940013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 10403940013632 in words is "ten trillion, four hundred three billion, nine hundred forty million, thirteen thousand, six hundred thirty-two".