10400234312000 has 336 divisors, whose sum is σ = 27922716124992. Its totient is φ = 3835559270400.

The previous prime is 10400234311939. The next prime is 10400234312003. The reversal of 10400234312000 is 21343200401.

It is a super-2 number, since 2×10400234312000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400234312003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1280339939 + ... + 1280348061.

Almost surely, 2^{10400234312000} is an apocalyptic number.

10400234312000 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 10400234312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13961358062496).

10400234312000 is an abundant number, since it is smaller than the sum of its proper divisors (17522481812992).

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

10400234312000 is an equidigital number, since it uses as much as digits as its factorization.

10400234312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9123 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10400234312000 its reverse (21343200401), we get a palindrome (10421577512401).

The spelling of 10400234312000 in words is "ten trillion, four hundred billion, two hundred thirty-four million, three hundred twelve thousand".