140214103000400 has 480 divisors, whose sum is σ = 417443048601600. Its totient is φ = 44496051148800.

The previous prime is 140214103000393. The next prime is 140214103000417. The reversal of 140214103000400 is 4000301412041.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 529139141 + ... + 529404059.

It is an arithmetic number, because the mean of its divisors is an integer number (869673017920).

Almost surely, 2^{140214103000400} is an apocalyptic number.

140214103000400 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 140214103000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208721524300800).

140214103000400 is an abundant number, since it is smaller than the sum of its proper divisors (277228945601200).

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

140214103000400 is a wasteful number, since it uses less digits than its factorization.

140214103000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265467 (or 265456 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 140214103000400 its reverse (4000301412041), we get a palindrome (144214404412441).

The spelling of 140214103000400 in words is "one hundred forty trillion, two hundred fourteen billion, one hundred three million, four hundred", and thus it is an aban number.