1000432314140 has 96 divisors (see below), whose sum is σ = 2452790761344. Its totient is φ = 335669160960.

The previous prime is 1000432314131. The next prime is 1000432314149. The reversal of 1000432314140 is 414132340001.

It is an interprime number because it is at equal distance from previous prime (1000432314131) and next prime (1000432314149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000432314149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1385054 + ... + 1979706.

It is an arithmetic number, because the mean of its divisors is an integer number (25549903764).

Almost surely, 2^{1000432314140} is an apocalyptic number.

1000432314140 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 1000432314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226395380672).

1000432314140 is an abundant number, since it is smaller than the sum of its proper divisors (1452358447204).

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

1000432314140 is a wasteful number, since it uses less digits than its factorization.

1000432314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594927 (or 594925 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1000432314140 its reverse (414132340001), we get a palindrome (1414564654141).

The spelling of 1000432314140 in words is "one trillion, four hundred thirty-two million, three hundred fourteen thousand, one hundred forty".