10132032404400 has 120 divisors (see below), whose sum is σ = 32466341046480. Its totient is φ = 2701037521920.

The previous prime is 10132032404323. The next prime is 10132032404423. The reversal of 10132032404400 is 440423023101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2567374 + ... + 5182226.

It is an arithmetic number, because the mean of its divisors is an integer number (270552842054).

Almost surely, 2^{10132032404400} is an apocalyptic number.

10132032404400 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 10132032404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16233170523240).

10132032404400 is an abundant number, since it is smaller than the sum of its proper divisors (22334308642080).

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

10132032404400 is a wasteful number, since it uses less digits than its factorization.

10132032404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618103 (or 2618092 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10132032404400 its reverse (440423023101), we get a palindrome (10572455427501).

The spelling of 10132032404400 in words is "ten trillion, one hundred thirty-two billion, thirty-two million, four hundred four thousand, four hundred".