1014004132140 has 192 divisors, whose sum is σ = 3024590284800. Its totient is φ = 253286584320.

The previous prime is 1014004132129. The next prime is 1014004132189. The reversal of 1014004132140 is 412314004101.

1014004132140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 14564292 + ... + 14633748.

It is an arithmetic number, because the mean of its divisors is an integer number (15753074400).

Almost surely, 2^{1014004132140} is an apocalyptic number.

1014004132140 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 1014004132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512295142400).

1014004132140 is an abundant number, since it is smaller than the sum of its proper divisors (2010586152660).

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

1014004132140 is a wasteful number, since it uses less digits than its factorization.

1014004132140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69712 (or 69710 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1014004132140 its reverse (412314004101), we get a palindrome (1426318136241).

The spelling of 1014004132140 in words is "one trillion, fourteen billion, four million, one hundred thirty-two thousand, one hundred forty".