140213101120400 has 360 divisors, whose sum is σ = 430206400135296. Its totient is φ = 43424412595200.

The previous prime is 140213101120327. The next prime is 140213101120403. The reversal of 140213101120400 is 4021101312041.

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

It is not an unprimeable number, because it can be changed into a prime (140213101120403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31778057 + ... + 35920343.

Almost surely, 2^{140213101120400} is an apocalyptic number.

140213101120400 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 140213101120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215103200067648).

140213101120400 is an abundant number, since it is smaller than the sum of its proper divisors (289993299014896).

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

140213101120400 is a wasteful number, since it uses less digits than its factorization.

140213101120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142487 (or 4142469 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 140213101120400 its reverse (4021101312041), we get a palindrome (144234202432441).

The spelling of 140213101120400 in words is "one hundred forty trillion, two hundred thirteen billion, one hundred one million, one hundred twenty thousand, four hundred".