1014041431100 has 72 divisors (see below), whose sum is σ = 2314930741200. Its totient is φ = 384991936000.

The previous prime is 1014041431087. The next prime is 1014041431121. The reversal of 1014041431100 is 11341404101.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2792201 + ... + 3134400.

It is an arithmetic number, because the mean of its divisors is an integer number (32151815850).

Almost surely, 2^{1014041431100} is an apocalyptic number.

1014041431100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014041431100 is an abundant number, since it is smaller than the sum of its proper divisors (1300889310100).

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

1014041431100 is a wasteful number, since it uses less digits than its factorization.

1014041431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926703 (or 5926696 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1014041431100 its reverse (11341404101), we get a palindrome (1025382835201).

The spelling of 1014041431100 in words is "one trillion, fourteen billion, forty-one million, four hundred thirty-one thousand, one hundred".