1406431332100 has 18 divisors (see below), whose sum is σ = 3051955990874. Its totient is φ = 562572532800.

The previous prime is 1406431332037. The next prime is 1406431332101. The reversal of 1406431332100 is 12331346041.

It can be written as a sum of positive squares in 3 ways, for example, as 3822206976 + 1402609125124 = 61824^2 + 1184318^2 .

It is not an unprimeable number, because it can be changed into a prime (1406431332101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7032156561 + ... + 7032156760.

Almost surely, 2^{1406431332100} is an apocalyptic number.

1406431332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406431332100 is an abundant number, since it is smaller than the sum of its proper divisors (1645524658774).

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

1406431332100 is a wasteful number, since it uses less digits than its factorization.

1406431332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14064313335 (or 14064313328 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1406431332100 its reverse (12331346041), we get a palindrome (1418762678141).

The spelling of 1406431332100 in words is "one trillion, four hundred six billion, four hundred thirty-one million, three hundred thirty-two thousand, one hundred".