10132312000440 has 384 divisors, whose sum is σ = 36205204988160. Its totient is φ = 2261191274496.

The previous prime is 10132312000319. The next prime is 10132312000501. The reversal of 10132312000440 is 4400021323101.

It is a super-3 number, since 3×10132312000440³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44403679 + ... + 44631281.

It is an arithmetic number, because the mean of its divisors is an integer number (94284387990).

Almost surely, 2^{10132312000440} is an apocalyptic number.

10132312000440 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 10132312000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18102602494080).

10132312000440 is an abundant number, since it is smaller than the sum of its proper divisors (26072892987720).

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

10132312000440 is a wasteful number, since it uses less digits than its factorization.

10132312000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227811 (or 227800 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10132312000440 its reverse (4400021323101), we get a palindrome (14532333323541).

The spelling of 10132312000440 in words is "ten trillion, one hundred thirty-two billion, three hundred twelve million, four hundred forty", and thus it is an aban number.