140213324000400 has 960 divisors, whose sum is σ = 547368014776320. Its totient is φ = 29968629350400.

The previous prime is 140213324000389. The next prime is 140213324000447. The reversal of 140213324000400 is 4000423312041.

It is a super-2 number, since 2×140213324000400² (a number of 29 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 4730369580 + ... + 4730399220.

It is an arithmetic number, because the mean of its divisors is an integer number (570175015392).

Almost surely, 2^{140213324000400} is an apocalyptic number.

140213324000400 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 140213324000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273684007388160).

140213324000400 is an abundant number, since it is smaller than the sum of its proper divisors (407154690775920).

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

140213324000400 is a wasteful number, since it uses less digits than its factorization.

140213324000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30072 (or 30061 counting only the distinct ones).

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

Adding to 140213324000400 its reverse (4000423312041), we get a palindrome (144213747312441).

The spelling of 140213324000400 in words is "one hundred forty trillion, two hundred thirteen billion, three hundred twenty-four million, four hundred", and thus it is an aban number.