140430300010400 has 144 divisors (see below), whose sum is σ = 360898248533760. Its totient is φ = 53211367065600.

The previous prime is 140430300010379. The next prime is 140430300010421. The reversal of 140430300010400 is 4010003034041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140430300010379) and next prime (140430300010421).

It is a super-3 number, since 3×140430300010400³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189797972 + ... + 190536428.

It is an arithmetic number, because the mean of its divisors is an integer number (2506237837040).

Almost surely, 2^{140430300010400} is an apocalyptic number.

140430300010400 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 140430300010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180449124266880).

140430300010400 is an abundant number, since it is smaller than the sum of its proper divisors (220467948523360).

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

140430300010400 is a wasteful number, since it uses less digits than its factorization.

140430300010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751007 (or 750994 counting only the distinct ones).

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

Adding to 140430300010400 its reverse (4010003034041), we get a palindrome (144440303044441).

The spelling of 140430300010400 in words is "one hundred forty trillion, four hundred thirty billion, three hundred million, ten thousand, four hundred".