10001400132 has 48 divisors (see below), whose sum is σ = 24406502400. Its totient is φ = 3181615008.

The previous prime is 10001400131. The next prime is 10001400133. The reversal of 10001400132 is 23100410001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10001400131) and next prime (10001400133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10001400131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81369 + ... + 163167.

It is an arithmetic number, because the mean of its divisors is an integer number (508468800).

Almost surely, 2^10001400132 is an apocalyptic number.

10001400132 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 10001400132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203251200).

10001400132 is an abundant number, since it is smaller than the sum of its proper divisors (14405102268).

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

10001400132 is a wasteful number, since it uses less digits than its factorization.

10001400132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82272 (or 82270 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10001400132 its reverse (23100410001), we get a palindrome (33101810133).

The spelling of 10001400132 in words is "ten billion, one million, four hundred thousand, one hundred thirty-two".