140200431000 has 256 divisors, whose sum is σ = 506248704000. Its totient is φ = 31639795200.

The previous prime is 140200430989. The next prime is 140200431011. The reversal of 140200431000 is 134002041.

It is an interprime number because it is at equal distance from previous prime (140200430989) and next prime (140200431011).

It is a super-2 number, since 2×140200431000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1616746 + ... + 1701254.

It is an arithmetic number, because the mean of its divisors is an integer number (1977534000).

Almost surely, 2^140200431000 is an apocalyptic number.

140200431000 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 140200431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253124352000).

140200431000 is an abundant number, since it is smaller than the sum of its proper divisors (366048273000).

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

140200431000 is a wasteful number, since it uses less digits than its factorization.

140200431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84619 (or 84605 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 140200431000 its reverse (134002041), we get a palindrome (140334433041).

The spelling of 140200431000 in words is "one hundred forty billion, two hundred million, four hundred thirty-one thousand".